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53455723551468 = 22327474951911597
BaseRepresentation
bin11000010011110001000010…
…11010011101101011101100
321000021022120021200121210100
430021320201122131223230
524001304310212121333
6305405115334111100
714155022443101030
oct1411704132355354
9230238507617710
1053455723551468
111603a4993a2137
125bb40b17ab490
1323a9b12356974
14d2b3b12001c0
1562a78cd6e213
hex309e2169daec

53455723551468 has 144 divisors (see below), whose sum is σ = 157745368295424. Its totient is φ = 14945069462400.

The previous prime is 53455723551463. The next prime is 53455723551521. The reversal of 53455723551468 is 86415532755435.

It is a happy number.

53455723551468 is a `hidden beast` number, since 5 + 3 + 4 + 5 + 5 + 72 + 3 + 551 + 4 + 6 + 8 = 666.

53455723551468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (53455723551463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58183846 + ... + 59095442.

It is an arithmetic number, because the mean of its divisors is an integer number (1095453946496).

Almost surely, 253455723551468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53455723551468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78872684147712).

53455723551468 is an abundant number, since it is smaller than the sum of its proper divisors (104289644743956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53455723551468 is a wasteful number, since it uses less digits than its factorization.

53455723551468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916612 (or 916607 counting only the distinct ones).

The product of its digits is 302400000, while the sum is 63.

The spelling of 53455723551468 in words is "fifty-three trillion, four hundred fifty-five billion, seven hundred twenty-three million, five hundred fifty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 4951 5922 9902 11844 14853 19804 29706 34657 44559 59412 69314 89118 103971 138628 178236 207942 232697 311913 415884 465394 623826 698091 911597 930788 1247652 1396182 1628879 1823194 2094273 2734791 2792364 3257758 3646388 4188546 4886637 5469582 6381179 6515516 8204373 8377092 9773274 10939164 12762358 14659911 16408746 19143537 19546548 25524716 29319822 32817492 38287074 42845059 57430611 58639644 76574148 85690118 114861222 128535177 171380236 229722444 257070354 299915413 385605531 514140708 599830826 771211062 899746239 1199661652 1542422124 1799492478 2699238717 3598984956 4513316747 5398477434 9026633494 10796954868 13539950241 18053266988 27079900482 31593217229 40619850723 54159800964 63186434458 81239701446 94779651687 126372868916 162479402892 189559303374 212125887109 284338955061 379118606748 424251774218 568677910122 636377661327 848503548436 1137355820244 1272755322654 1484881209763 1909132983981 2545510645308 2969762419526 3818265967962 4454643629289 5939524839052 7636531935924 8909287258578 13363930887867 17818574517156 26727861775734 53455723551468