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4648086054 = 23223891011249
BaseRepresentation
bin1000101010000110…
…00010101000100110
3102222221012020101100
410111003002220212
534004402223204
62045120340530
7223120036203
oct42503025046
912887166340
104648086054
111a757a5937
12a98774746
13590c854a1
14321456caa
151c30e0a39
hex1150c2a26

4648086054 has 96 divisors (see below), whose sum is σ = 10740600000. Its totient is φ = 1449676800.

The previous prime is 4648086017. The next prime is 4648086133. The reversal of 4648086054 is 4506808464.

4648086054 is a `hidden beast` number, since 46 + 480 + 86 + 0 + 54 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3720822 + ... + 3722070.

It is an arithmetic number, because the mean of its divisors is an integer number (111881250).

Almost surely, 24648086054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4648086054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370300000).

4648086054 is an abundant number, since it is smaller than the sum of its proper divisors (6092513946).

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

4648086054 is a wasteful number, since it uses less digits than its factorization.

4648086054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4648086054 is about 68176.8733075960. The cubic root of 4648086054 is about 1668.8785009660.

The spelling of 4648086054 in words is "four billion, six hundred forty-eight million, eighty-six thousand, fifty-four".

Divisors: 1 2 3 6 9 18 23 46 69 89 101 138 178 202 207 267 303 414 534 606 801 909 1249 1602 1818 2047 2323 2498 3747 4094 4646 6141 6969 7494 8989 11241 12282 13938 17978 18423 20907 22482 26967 28727 36846 41814 53934 57454 80901 86181 111161 126149 161802 172362 206747 222322 252298 258543 333483 378447 413494 517086 620241 666966 756894 1000449 1135341 1240482 1860723 2000898 2270682 2556703 2901427 3721446 5113406 5802854 7670109 8704281 11227261 15340218 17408562 22454522 23010327 26112843 33681783 46020654 52225686 67363566 101045349 202090698 258227003 516454006 774681009 1549362018 2324043027 4648086054