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1055457026100 = 2232523797308857
BaseRepresentation
bin11110101101111100010…
…01000010000000110100
310201220022121121020121200
433112332021002000310
5114243033444313400
62124511551012500
7136153131460611
oct17267611020064
93656277536550
101055457026100
11377686a80474
1215067a50a130
13786b5783b99
1439127805508
151c6c523cb00
hexf5be242034

1055457026100 has 108 divisors (see below), whose sum is σ = 3309153411564. Its totient is φ = 281380170240.

The previous prime is 1055457026081. The next prime is 1055457026131. The reversal of 1055457026100 is 16207545501.

1055457026100 is a `hidden beast` number, since 1 + 0 + 5 + 54 + 570 + 26 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 148166485776 + 907290540324 = 384924^2 + 952518^2 .

It is a super-2 number, since 2×10554570261002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3262872 + ... + 3571728.

Almost surely, 21055457026100 is an apocalyptic number.

1055457026100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055457026100 is an abundant number, since it is smaller than the sum of its proper divisors (2253696385464).

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

1055457026100 is a wasteful number, since it uses less digits than its factorization.

1055457026100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312674 (or 312664 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 1055457026100 in words is "one trillion, fifty-five billion, four hundred fifty-seven million, twenty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 3797 7594 11391 15188 18985 22782 34173 37970 45564 56955 68346 75940 94925 113910 136692 170865 189850 227820 284775 308857 341730 379700 569550 617714 683460 854325 926571 1139100 1235428 1544285 1708650 1853142 2779713 3088570 3417300 3706284 4632855 5559426 6177140 7721425 9265710 11118852 13898565 15442850 18531420 23164275 27797130 30885700 46328550 55594260 69492825 92657100 138985650 277971300 1172730029 2345460058 3518190087 4690920116 5863650145 7036380174 10554570261 11727300290 14072760348 17590950435 21109140522 23454600580 29318250725 35181900870 42218281044 52772851305 58636501450 70363801740 87954752175 105545702610 117273002900 175909504350 211091405220 263864256525 351819008700 527728513050 1055457026100