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13157155680 = 2535233911719
BaseRepresentation
bin11000100000011101…
…00100001101100000
31020221221111202112020
430100032210031200
5203421212440210
610013323301440
7644021656314
oct142016441540
936857452466
1013157155680
115641964889
12267237a880
131318b07926
148cb597b44
15520146770
hex3103a4360

13157155680 has 96 divisors (see below), whose sum is σ = 41466297600. Its totient is φ = 3506775552.

The previous prime is 13157155643. The next prime is 13157155709. The reversal of 13157155680 is 8655175131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×131571556802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1116861 + ... + 1128579.

It is an arithmetic number, because the mean of its divisors is an integer number (431940600).

Almost surely, 213157155680 is an apocalyptic number.

13157155680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13157155680 is an abundant number, since it is smaller than the sum of its proper divisors (28309141920).

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

13157155680 is a wasteful number, since it uses less digits than its factorization.

13157155680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14076 (or 14068 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 42.

The spelling of 13157155680 in words is "thirteen billion, one hundred fifty-seven million, one hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2339 4678 7017 9356 11695 11719 14034 18712 23390 23438 28068 35085 35157 37424 46780 46876 56136 58595 70170 70314 74848 93560 93752 112272 117190 140340 140628 175785 187120 187504 224544 234380 280680 281256 351570 374240 375008 468760 561360 562512 703140 937520 1122720 1125024 1406280 1875040 2812560 5625120 27410741 54821482 82232223 109642964 137053705 164464446 219285928 274107410 328928892 411161115 438571856 548214820 657857784 822322230 877143712 1096429640 1315715568 1644644460 2192859280 2631431136 3289288920 4385718560 6578577840 13157155680