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57098602944 = 263417363667
BaseRepresentation
bin110101001011010101…
…111000100111000000
312110101022002120020000
4311023111320213000
51413414220243234
642121501120000
74060646055105
oct651325704700
9173338076200
1057098602944
1122240744559
12b096259000
1354cc61a5b6
142a993d6aac
151742b89899
hexd4b5789c0

57098602944 has 140 divisors (see below), whose sum is σ = 170239191144. Its totient is φ = 18922553856.

The previous prime is 57098602937. The next prime is 57098602963. The reversal of 57098602944 is 44920689075.

57098602944 is a `hidden beast` number, since 570 + 9 + 8 + 6 + 0 + 29 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 864999 + ... + 928665.

Almost surely, 257098602944 is an apocalyptic number.

57098602944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57098602944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85119595572).

57098602944 is an abundant number, since it is smaller than the sum of its proper divisors (113140588200).

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

57098602944 is a wasteful number, since it uses less digits than its factorization.

57098602944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63864 (or 63845 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 57098602944 in words is "fifty-seven billion, ninety-eight million, six hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 173 192 216 288 324 346 432 519 576 648 692 864 1038 1296 1384 1557 1728 2076 2592 2768 3114 4152 4671 5184 5536 6228 8304 9342 11072 12456 14013 16608 18684 24912 28026 33216 37368 49824 56052 63667 74736 99648 112104 127334 149472 191001 224208 254668 298944 382002 448416 509336 573003 764004 896832 1018672 1146006 1528008 1719009 2037344 2292012 3056016 3438018 4074688 4584024 5157027 6112032 6876036 9168048 10314054 11014391 12224064 13752072 18336096 20628108 22028782 27504144 33043173 36672192 41256216 44057564 55008288 66086346 82512432 88115128 99129519 110016576 132172692 165024864 176230256 198259038 264345384 297388557 330049728 352460512 396518076 528690768 594777114 704921024 793036152 892165671 1057381536 1189554228 1586072304 1784331342 2114763072 2379108456 3172144608 3568662684 4758216912 6344289216 7137325368 9516433824 14274650736 19032867648 28549301472 57098602944