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12058837344 = 2532411021243
BaseRepresentation
bin10110011101100001…
…10100000101100000
31011010101211102000100
423032300310011200
5144144030243334
65312330422400
7604554266121
oct131660640540
934111742010
1012058837344
115128998a84
122406591a00
1311a23c5518
14825776048
154a89e3c99
hex2cec34160

12058837344 has 72 divisors (see below), whose sum is σ = 35128751112. Its totient is φ = 3921569280.

The previous prime is 12058837337. The next prime is 12058837363. The reversal of 12058837344 is 44373885021.

12058837344 is a `hidden beast` number, since 1 + 2 + 0 + 588 + 37 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12058837344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498814 + ... + 522429.

It is an arithmetic number, because the mean of its divisors is an integer number (487899321).

Almost surely, 212058837344 is an apocalyptic number.

It is an amenable number.

12058837344 is an abundant number, since it is smaller than the sum of its proper divisors (23069913768).

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

12058837344 is a wasteful number, since it uses less digits than its factorization.

12058837344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021300 (or 1021289 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 12058837344 in words is "twelve billion, fifty-eight million, eight hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 1021243 2042486 3063729 4084972 6127458 8169944 9191187 12254916 16339888 18382374 24509832 32679776 36764748 41870963 49019664 73529496 83741926 98039328 125612889 147058992 167483852 251225778 294117984 334967704 376838667 502451556 669935408 753677334 1004903112 1339870816 1507354668 2009806224 3014709336 4019612448 6029418672 12058837344