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1135426638096 = 2434295992
BaseRepresentation
bin10000100001011100101…
…100111001000100010000
311000112201211112110010000
4100201130230321010100
5122100323204404341
62225335141210000
7145013634116502
oct20413454710420
94015654473100
101135426638096
113a85938115a3
12164078100900
13830bb50921a
143cd5250dd72
151e805c078b6
hex1085cb39110

1135426638096 has 75 divisors (see below), whose sum is σ = 3286365134151. Its totient is φ = 378462759264.

The previous prime is 1135426638089. The next prime is 1135426638103. The reversal of 1135426638096 is 6908366245311.

The square root of 1135426638096 is 1065564.

It is a perfect power (a square), and thus also a powerful number.

1135426638096 is a `hidden beast` number, since 1 + 1 + 3 + 542 + 6 + 6 + 3 + 8 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1135426638089) and next prime (1135426638103).

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 38345505 + ... + 38375103.

Almost surely, 21135426638096 is an apocalyptic number.

1135426638096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1135426638096 is the 1065564-th square number.

It is an amenable number.

1135426638096 is an abundant number, since it is smaller than the sum of its proper divisors (2150938496055).

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

1135426638096 is an frugal number, since it uses more digits than its factorization.

1135426638096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59218 (or 29604 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1135426638096 in words is "one trillion, one hundred thirty-five billion, four hundred twenty-six million, six hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 29599 59198 88797 118396 177594 236792 266391 355188 473584 532782 710376 799173 1065564 1420752 1598346 2131128 2397519 3196692 4262256 4795038 6393384 9590076 12786768 19180152 38360304 876100801 1752201602 2628302403 3504403204 5256604806 7008806408 7884907209 10513209612 14017612816 15769814418 21026419224 23654721627 31539628836 42052838448 47309443254 63079257672 70964164881 94618886508 126158515344 141928329762 189237773016 283856659524 378475546032 567713319048 1135426638096