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15071271168 = 283472391747
BaseRepresentation
bin11100000100101000…
…10101100100000000
31102220100020220100110
432002110111210000
5221331221134133
610531301351320
71042323456042
oct160224254400
942810226313
1015071271168
116434381108
122b07408540
131562541345
14a2d897a92
155d31e1c63
hex382515900

15071271168 has 144 divisors (see below), whose sum is σ = 41159946240. Its totient is φ = 4893493248.

The previous prime is 15071271133. The next prime is 15071271191. The reversal of 15071271168 is 86117217051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8626071 + ... + 8627817.

It is an arithmetic number, because the mean of its divisors is an integer number (285832960).

Almost surely, 215071271168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15071271168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20579973120).

15071271168 is an abundant number, since it is smaller than the sum of its proper divisors (26088675072).

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

15071271168 is a wasteful number, since it uses less digits than its factorization.

15071271168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 39.

The spelling of 15071271168 in words is "fifteen billion, seventy-one million, two hundred seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 239 256 282 376 384 478 564 717 752 768 956 1128 1434 1504 1747 1912 2256 2868 3008 3494 3824 4512 5241 5736 6016 6988 7648 9024 10482 11233 11472 12032 13976 15296 18048 20964 22466 22944 27952 30592 33699 36096 41928 44932 45888 55904 61184 67398 82109 83856 89864 91776 111808 134796 164218 167712 179728 183552 223616 246327 269592 328436 335424 359456 417533 447232 492654 539184 656872 670848 718912 835066 985308 1078368 1252599 1313744 1341696 1437824 1670132 1970616 2156736 2505198 2627488 2875648 3340264 3941232 4313472 5010396 5254976 6680528 7882464 8626944 10020792 10509952 13361056 15764928 19624051 20041584 21019904 26722112 31529856 39248102 40083168 53444224 58872153 63059712 78496204 80166336 106888448 117744306 156992408 160332672 235488612 313984816 320665344 470977224 627969632 941954448 1255939264 1883908896 2511878528 3767817792 5023757056 7535635584 15071271168