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51141335544 = 233213232375573
BaseRepresentation
bin101111101000010000…
…101101100111111000
311220000010110000122200
4233220100231213320
51314214140214134
635254412150200
73460221115425
oct575020554770
9156003400580
1051141335544
111a763a50372
129ab3168360
134a903640c0
14269214cd4c
1514e4b93499
hexbe842d9f8

51141335544 has 96 divisors (see below), whose sum is σ = 155647608480. Its totient is φ = 15051624192.

The previous prime is 51141335543. The next prime is 51141335647. The reversal of 51141335544 is 44553314115.

51141335544 is a `hidden beast` number, since 511 + 4 + 133 + 5 + 5 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51141335499 and 51141335508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51141335543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1166259 + ... + 1209314.

It is an arithmetic number, because the mean of its divisors is an integer number (1621329255).

Almost surely, 251141335544 is an apocalyptic number.

It is an amenable number.

51141335544 is an abundant number, since it is smaller than the sum of its proper divisors (104506272936).

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

51141335544 is a wasteful number, since it uses less digits than its factorization.

51141335544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375621 (or 2375614 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 51141335544 its reverse (44553314115), we get a palindrome (95694649659).

The spelling of 51141335544 in words is "fifty-one billion, one hundred forty-one million, three hundred thirty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 552 598 828 897 936 1196 1656 1794 2392 2691 3588 5382 7176 10764 21528 2375573 4751146 7126719 9502292 14253438 19004584 21380157 28506876 30882449 42760314 54638179 57013752 61764898 85520628 92647347 109276358 123529796 163914537 171041256 185294694 218552716 247059592 277942041 327829074 370589388 437105432 491743611 555884082 655658148 710296327 741178776 983487222 1111768164 1311316296 1420592654 1966974444 2130888981 2223536328 2841185308 3933948888 4261777962 5682370616 6392666943 8523555924 12785333886 17047111848 25570667772 51141335544