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13501505136 = 24371572111213
BaseRepresentation
bin11001001001100000…
…01001111001110000
31021211221110112011210
430210300021321300
5210122341131021
610111424040120
7655402620510
oct144460117160
937757415153
1013501505136
1157a927a709
122749763040
131372262bc2
149211d3840
155404b5e76
hex324c09e70

13501505136 has 160 divisors (see below), whose sum is σ = 40338830848. Its totient is φ = 3811691520.

The previous prime is 13501505099. The next prime is 13501505167. The reversal of 13501505136 is 63150510531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11130066 + ... + 11131278.

Almost surely, 213501505136 is an apocalyptic number.

13501505136 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 13501505136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20169415424).

13501505136 is an abundant number, since it is smaller than the sum of its proper divisors (26837325712).

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

13501505136 is a wasteful number, since it uses less digits than its factorization.

13501505136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The spelling of 13501505136 in words is "thirteen billion, five hundred one million, five hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 157 168 211 314 336 422 471 628 633 844 942 1099 1213 1256 1266 1477 1688 1884 2198 2426 2512 2532 2954 3297 3376 3639 3768 4396 4431 4852 5064 5908 6594 7278 7536 8491 8792 8862 9704 10128 11816 13188 14556 16982 17584 17724 19408 23632 25473 26376 29112 33127 33964 35448 50946 52752 58224 66254 67928 70896 99381 101892 132508 135856 190441 198762 203784 231889 255943 265016 380882 397524 407568 463778 511886 530032 571323 695667 761764 767829 795048 927556 1023772 1142646 1333087 1391334 1523528 1535658 1590096 1791601 1855112 2047544 2285292 2666174 2782668 3047056 3071316 3583202 3710224 3999261 4095088 4570584 5332348 5374803 5565336 6142632 7166404 7998522 9141168 10664696 10749606 11130672 12285264 14332808 15997044 21329392 21499212 28665616 31994088 40183051 42998424 63988176 80366102 85996848 120549153 160732204 241098306 281281357 321464408 482196612 562562714 642928816 843844071 964393224 1125125428 1687688142 1928786448 2250250856 3375376284 4500501712 6750752568 13501505136