Search a number
-
+
1056462504160 = 25571688355871
BaseRepresentation
bin11110101111110100001…
…00101000000011100000
310201222220200120211012211
433113322010220003200
5114302113400113120
62125155425531504
7136220061055540
oct17277204500340
93658820524184
101056462504160
113780525a5a78
121508bb1a3b94
1378815b8b60b
14391c117b320
151c73365225a
hexf5fa1280e0

1056462504160 has 96 divisors (see below), whose sum is σ = 2852668772352. Its totient is φ = 362187778560.

The previous prime is 1056462504151. The next prime is 1056462504193. The reversal of 1056462504160 is 614052646501.

It is a super-2 number, since 2×10564625041602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 18881025 + ... + 18936895.

It is an arithmetic number, because the mean of its divisors is an integer number (29715299712).

Almost surely, 21056462504160 is an apocalyptic number.

1056462504160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056462504160 is an abundant number, since it is smaller than the sum of its proper divisors (1796206268192).

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

1056462504160 is a wasteful number, since it uses less digits than its factorization.

1056462504160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72776 (or 72768 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 1056462504160 in words is "one trillion, fifty-six billion, four hundred sixty-two million, five hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 16883 33766 55871 67532 84415 111742 118181 135064 168830 223484 236362 270128 279355 337660 391097 446968 472724 540256 558710 590905 675320 782194 893936 945448 1117420 1181810 1350640 1564388 1787872 1890896 1955485 2234840 2363620 2701280 3128776 3781792 3910970 4469680 4727240 6257552 7821940 8939360 9454480 12515104 15643880 18908960 31287760 62575520 943270093 1886540186 3773080372 4716350465 6602890651 7546160744 9432700930 13205781302 15092321488 18865401860 26411562604 30184642976 33014453255 37730803720 52823125208 66028906510 75461607440 105646250416 132057813020 150923214880 211292500832 264115626040 528231252080 1056462504160