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10071540090 = 2325313609871
BaseRepresentation
bin10010110000100111…
…11000000101111010
3221222220101020200100
421120103320011322
5131111303240330
64343220020230
7504403451433
oct113023700572
927886336610
1010071540090
1142a9138157
121b50b31676
13c46777ca1
146b786648a
153de2e0060
hex2584f817a

10071540090 has 48 divisors (see below), whose sum is σ = 27030721536. Its totient is φ = 2599106400.

The previous prime is 10071540047. The next prime is 10071540107. The reversal of 10071540090 is 9004517001.

10071540090 is a `hidden beast` number, since 100 + 71 + 5 + 400 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1802146 + ... + 1807725.

It is an arithmetic number, because the mean of its divisors is an integer number (563140032).

Almost surely, 210071540090 is an apocalyptic number.

10071540090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10071540090 is an abundant number, since it is smaller than the sum of its proper divisors (16959181446).

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

10071540090 is a wasteful number, since it uses less digits than its factorization.

10071540090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609915 (or 3609912 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 10071540090 in words is "ten billion, seventy-one million, five hundred forty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 3609871 7219742 10829613 18049355 21659226 32488839 36098710 54148065 64977678 108296130 111906001 162444195 223812002 324888390 335718003 559530005 671436006 1007154009 1119060010 1678590015 2014308018 3357180030 5035770045 10071540090