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13050768896 = 291117136309
BaseRepresentation
bin11000010011110001…
…01110111000000000
31020200112022202021222
430021320232320000
5203211444101041
65555003134212
7641260463624
oct141170567000
936615282258
1013050768896
115597900920
122642814368
1312cca69079
148bb3c3184
15515b2e74b
hex309e2ee00

13050768896 has 80 divisors (see below), whose sum is σ = 30120148080. Its totient is φ = 5583175680.

The previous prime is 13050768893. The next prime is 13050768911. The reversal of 13050768896 is 69886705031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13050768893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27590 + ... + 163898.

It is an arithmetic number, because the mean of its divisors is an integer number (376501851).

Almost surely, 213050768896 is an apocalyptic number.

13050768896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13050768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060074040).

13050768896 is an abundant number, since it is smaller than the sum of its proper divisors (17069379184).

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

13050768896 is a wasteful number, since it uses less digits than its factorization.

13050768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136355 (or 136339 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 13050768896 in words is "thirteen billion, fifty million, seven hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 512 544 704 748 1088 1408 1496 2176 2816 2992 4352 5632 5984 8704 11968 23936 47872 95744 136309 272618 545236 1090472 1499399 2180944 2317253 2998798 4361888 4634506 5997596 8723776 9269012 11995192 17447552 18538024 23990384 25489783 34895104 37076048 47980768 50979566 69790208 74152096 95961536 101959132 148304192 191923072 203918264 296608384 383846144 407836528 593216768 767692288 815673056 1186433536 1631346112 3262692224 6525384448 13050768896