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10138607437924 = 2274324912
BaseRepresentation
bin1001001110001001010000…
…0110000100100001100100
31022220020111222120122112101
42103202110012010201210
52312102332001003144
633321340103301444
72064330100210000
oct223422406044144
938806458518471
1010138607437924
113259839649709
121178b1b14a884
135870b3374394
142709d5823700
15128add78d6d4
hex93894184864

10138607437924 has 45 divisors (see below), whose sum is σ = 20699062313811. Its totient is φ = 4344983740440.

The previous prime is 10138607437813. The next prime is 10138607437939. The reversal of 10138607437924 is 42973470683101.

The square root of 10138607437924 is 3184118.

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

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, 312027319 + ... + 312059809.

Almost surely, 210138607437924 is an apocalyptic number.

10138607437924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10138607437924 is the 3184118-th square number.

It is an amenable number.

10138607437924 is an abundant number, since it is smaller than the sum of its proper divisors (10560454875887).

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

10138607437924 is an frugal number, since it uses more digits than its factorization.

10138607437924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65014 (or 32500 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 10138607437924 in words is "ten trillion, one hundred thirty-eight billion, six hundred seven million, four hundred thirty-seven thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4802 9604 32491 64982 129964 227437 454874 909748 1592059 3184118 6368236 11144413 22288826 44577652 78010891 156021782 312043564 1055665081 2111330162 4222660324 7389655567 14779311134 29558622268 51727588969 103455177938 206910355876 362093122783 724186245566 1448372491132 2534651859481 5069303718962 10138607437924