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15091631104 = 2101123492
BaseRepresentation
bin11100000111000100…
…00000010000000000
31102221202120021221011
432003202000100000
5221401424143404
610533310010304
71042661514334
oct160342002000
942852507834
1015091631104
116444917900
122b121a6994
13156681c544
14a324777c4
155d4db4604
hex383880400

15091631104 has 99 divisors (see below), whose sum is σ = 33255731901. Its totient is φ = 6840176640.

The previous prime is 15091631039. The next prime is 15091631143. The reversal of 15091631104 is 40113619051.

The square root of 15091631104 is 122848.

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

It can be written as a sum of positive squares in only one way, i.e., 11077141504 + 4014489600 = 105248^2 + 63360^2 .

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, 43242322 + ... + 43242670.

Almost surely, 215091631104 is an apocalyptic number.

15091631104 is the 122848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15091631104

15091631104 is an abundant number, since it is smaller than the sum of its proper divisors (18164100797).

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

15091631104 is an frugal number, since it uses more digits than its factorization.

15091631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 15091631104 in words is "fifteen billion, ninety-one million, six hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 349 352 484 512 698 704 968 1024 1396 1408 1936 2792 2816 3839 3872 5584 5632 7678 7744 11168 11264 15356 15488 22336 30712 30976 42229 44672 61424 61952 84458 89344 121801 122848 123904 168916 178688 243602 245696 337832 357376 487204 491392 675664 974408 982784 1339811 1351328 1948816 1965568 2679622 2702656 3897632 3931136 5359244 5405312 7795264 10718488 10810624 14737921 15590528 21436976 21621248 29475842 31181056 42873952 43242496 58951684 62362112 85747904 117903368 124724224 171495808 235806736 342991616 471613472 685983232 943226944 1371966464 1886453888 3772907776 7545815552 15091631104