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104400271760 = 2451305003397
BaseRepresentation
bin110000100111010111…
…1011011100110010000
3100222110211112022022212
41201032233123212100
53202302432144020
6115543312051252
710354064445101
oct1411657334620
9328424468285
10104400271760
1140304260434
1218297533b28
139aca339345
1450a560a3a8
152ab06c8cc5
hex184ebdb990

104400271760 has 20 divisors (see below), whose sum is σ = 242730632028. Its totient is φ = 41760108672.

The previous prime is 104400271753. The next prime is 104400271777. The reversal of 104400271760 is 67172004401.

It can be written as a sum of positive squares in 2 ways, for example, as 30755338384 + 73644933376 = 175372^2 + 271376^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 652501619 + ... + 652501778.

Almost surely, 2104400271760 is an apocalyptic number.

104400271760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104400271760 is an abundant number, since it is smaller than the sum of its proper divisors (138330360268).

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

104400271760 is a wasteful number, since it uses less digits than its factorization.

104400271760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305003410 (or 1305003404 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 104400271760 in words is "one hundred four billion, four hundred million, two hundred seventy-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1305003397 2610006794 5220013588 6525016985 10440027176 13050033970 20880054352 26100067940 52200135880 104400271760