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15914327104 = 2613212132
BaseRepresentation
bin11101101001001000…
…10101110001000000
31112002002121120200101
432310210111301000
5230043031431404
611151055132144
71102241356054
oct166444256100
945062546611
1015914327104
11682724a555
123101814054
1316680baa00
14aad82dc64
156322212a4
hex3b4915c40

15914327104 has 63 divisors (see below), whose sum is σ = 34224301503. Its totient is φ = 7339018752.

The previous prime is 15914327083. The next prime is 15914327197. The reversal of 15914327104 is 40172341951.

It is a happy number.

The square root of 15914327104 is 126152.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10867645504 + 5046681600 = 104248^2 + 71040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13119202 + ... + 13120414.

It is an arithmetic number, because the mean of its divisors is an integer number (543242881).

Almost surely, 215914327104 is an apocalyptic number.

15914327104 is the 126152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15914327104

15914327104 is an abundant number, since it is smaller than the sum of its proper divisors (18309974399).

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

15914327104 is an frugal number, since it uses more digits than its factorization.

15914327104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 15914327104 in words is "fifteen billion, nine hundred fourteen million, three hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1213 1352 2426 2704 4852 5408 9704 10816 15769 19408 31538 38816 63076 77632 126152 204997 252304 409994 504608 819988 1009216 1471369 1639976 2942738 3279952 5885476 6559904 11770952 13119808 19127797 23541904 38255594 47083808 76511188 94167616 153022376 248661361 306044752 497322722 612089504 994645444 1224179008 1989290888 3978581776 7957163552 15914327104