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57335240232 = 2334174750647
BaseRepresentation
bin110101011001011100…
…100101011000101000
312110222210100222120000
4311121130211120220
51414410310141412
642201153103000
74066551333534
oct653134453050
9173883328500
1057335240232
1122352280666
12b141557a60
13553966196a
142abc9d4bc4
15175882e4dc
hexd59725628

57335240232 has 80 divisors (see below), whose sum is σ = 160686857760. Its totient is φ = 19100429856.

The previous prime is 57335240203. The next prime is 57335240243. The reversal of 57335240232 is 23204253375.

57335240232 is a `hidden beast` number, since 5 + 73 + 352 + 4 + 0 + 232 = 666.

It is a super-2 number, since 2×573352402322 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1106733 + ... + 1157379.

It is an arithmetic number, because the mean of its divisors is an integer number (2008585722).

Almost surely, 257335240232 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 57335240232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80343428880).

57335240232 is an abundant number, since it is smaller than the sum of its proper divisors (103351617528).

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

57335240232 is a wasteful number, since it uses less digits than its factorization.

57335240232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52412 (or 52399 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 57335240232 in words is "fifty-seven billion, three hundred thirty-five million, two hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1747 3494 5241 6988 10482 13976 15723 20964 31446 41928 47169 50647 62892 94338 101294 125784 141507 151941 188676 202588 283014 303882 377352 405176 455823 566028 607764 911646 1132056 1215528 1367469 1823292 2734938 3646584 4102407 5469876 8204814 10939752 16409628 32819256 88480309 176960618 265440927 353921236 530881854 707842472 796322781 1061763708 1592645562 2123527416 2388968343 3185291124 4777936686 6370582248 7166905029 9555873372 14333810058 19111746744 28667620116 57335240232