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13016124688 = 247798916529
BaseRepresentation
bin11000001111101001…
…00100110100010000
31020121010010122101011
430013310210310100
5203124111442223
65551324420304
7640360143250
oct140764446420
936533118334
1013016124688
11557a299146
1226330a7694
1312c5829238
148b6965960
15512a8980d
hex307d24d10

13016124688 has 80 divisors (see below), whose sum is σ = 29515968000. Its totient is φ = 5445513216.

The previous prime is 13016124683. The next prime is 13016124707. The reversal of 13016124688 is 88642161031.

It is a self number, because there is not a number n which added to its sum of digits gives 13016124688.

It is not an unprimeable number, because it can be changed into a prime (13016124683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779208 + ... + 795736.

It is an arithmetic number, because the mean of its divisors is an integer number (368949600).

Almost surely, 213016124688 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 13016124688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757984000).

13016124688 is an abundant number, since it is smaller than the sum of its proper divisors (16499843312).

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

13016124688 is a wasteful number, since it uses less digits than its factorization.

13016124688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16712 (or 16706 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 13016124688 in words is "thirteen billion, sixteen million, one hundred twenty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 79 89 112 158 178 316 356 553 623 632 712 1106 1246 1264 1424 2212 2492 4424 4984 7031 8848 9968 14062 16529 28124 33058 49217 56248 66116 98434 112496 115703 132232 196868 231406 264464 393736 462812 787472 925624 1305791 1471081 1851248 2611582 2942162 5223164 5884324 9140537 10297567 10446328 11768648 18281074 20595134 20892656 23537296 36562148 41190268 73124296 82380536 116215399 146248592 164761072 232430798 464861596 813507793 929723192 1627015586 1859446384 3254031172 6508062344 13016124688