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57126160896 = 293710934861
BaseRepresentation
bin110101001100111111…
…000000101000000000
312110110012221122121220
4311030333000220000
51413443244122041
642124323515040
74061432233020
oct651477005000
9173405848556
1057126160896
1122255257222
12b0a3528a80
135505248b8c
142a9cd2ba80
1517452ced66
hexd4cfc0a00

57126160896 has 160 divisors (see below), whose sum is σ = 174123700608. Its totient is φ = 16303472640.

The previous prime is 57126160879. The next prime is 57126160907. The reversal of 57126160896 is 69806162175.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11749506 + ... + 11754366.

Almost surely, 257126160896 is an apocalyptic number.

57126160896 is a gapful number since it is divisible by the number (56) 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 57126160896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87061850304).

57126160896 is an abundant number, since it is smaller than the sum of its proper divisors (116997539712).

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

57126160896 is a wasteful number, since it uses less digits than its factorization.

57126160896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982 (or 5966 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 57126160896 in words is "fifty-seven billion, one hundred twenty-six million, one hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1093 1344 1536 1792 2186 2688 3279 3584 4372 4861 5376 6558 7651 8744 9722 10752 13116 14583 15302 17488 19444 22953 26232 29166 30604 34027 34976 38888 45906 52464 58332 61208 68054 69952 77776 91812 102081 104928 116664 122416 136108 139904 155552 183624 204162 209856 233328 244832 272216 279808 311104 367248 408324 419712 466656 489664 544432 559616 622208 734496 816648 839424 933312 979328 1088864 1244416 1468992 1633296 1678848 1866624 1958656 2177728 2488832 2937984 3266592 3733248 3917312 4355456 5313073 5875968 6533184 7466496 8710912 10626146 11751936 13066368 15939219 17421824 21252292 26132736 31878438 37191511 42504584 52265472 63756876 74383022 85009168 111574533 127513752 148766044 170018336 223149066 255027504 297532088 340036672 446298132 510055008 595064176 680073344 892596264 1020110016 1190128352 1360146688 1785192528 2040220032 2380256704 2720293376 3570385056 4080440064 4760513408 7140770112 8160880128 9521026816 14281540224 19042053632 28563080448 57126160896