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181257108006976 = 26312542872
BaseRepresentation
bin101001001101101000110101…
…100010010010100001000000
3212202210000021111200000000121
4221031220311202102201000
5142224204024122210401
61441300211010430024
753115252052112041
oct5115506542224100
9782700244600017
10181257108006976
115283278711a291
12183b4a12892314
137a1a619b23961
1432a8c686548c8
1515e4da77d9ca1
hexa4da35892840

181257108006976 has 63 divisors (see below), whose sum is σ = 371665846506927. Its totient is φ = 87703436680320.

The previous prime is 181257108006847. The next prime is 181257108006977. The reversal of 181257108006976 is 679600801752181.

The square root of 181257108006976 is 13463176.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (181257108006977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3338840505 + ... + 3338894791.

Almost surely, 2181257108006976 is an apocalyptic number.

181257108006976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

181257108006976 is the 13463176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181257108006976

181257108006976 is an abundant number, since it is smaller than the sum of its proper divisors (190408738499951).

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

181257108006976 is an frugal number, since it uses more digits than its factorization.

181257108006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108648 (or 54320 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 61.

The spelling of 181257108006976 in words is "one hundred eighty-one trillion, two hundred fifty-seven billion, one hundred eight million, six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1922 1984 3844 7688 15376 30752 54287 61504 108574 217148 434296 868592 1682897 1737184 3365794 3474368 6731588 13463176 26926352 52169807 53852704 104339614 107705408 208679228 417358456 834716912 1669433824 2947078369 3338867648 5894156738 11788313476 23576626952 47153253904 91359429439 94306507808 182718858878 188613015616 365437717756 730875435512 1461750871024 2832142312609 2923501742048 5664284625218 5847003484096 11328569250436 22657138500872 45314277001744 90628554003488 181257108006976