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13332514152 = 23341107139911
BaseRepresentation
bin11000110101010111…
…00000010101101000
31021102011110220010110
430122223200111220
5204301110423102
610042550014320
7651251333436
oct143253402550
937364426113
1013332514152
115721947241
1227010473a0
131346244c39
149069a3d56
1553073486c
hex31aae0568

13332514152 has 128 divisors (see below), whose sum is σ = 34749388800. Its totient is φ = 4259673600.

The previous prime is 13332514109. The next prime is 13332514171. The reversal of 13332514152 is 25141523331.

It is a super-2 number, since 2×133325141522 (a number of 21 digits) contains 22 as substring.

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, 14634577 + ... + 14635487.

It is an arithmetic number, because the mean of its divisors is an integer number (271479600).

Almost surely, 213332514152 is an apocalyptic number.

13332514152 is a gapful number since it is divisible by the number (12) 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 13332514152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374694400).

13332514152 is an abundant number, since it is smaller than the sum of its proper divisors (21416874648).

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

13332514152 is a wasteful number, since it uses less digits than its factorization.

13332514152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1203 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The spelling of 13332514152 in words is "thirteen billion, three hundred thirty-two million, five hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 107 123 139 164 214 246 278 321 328 417 428 492 556 642 834 856 911 984 1112 1284 1668 1822 2568 2733 3336 3644 4387 5466 5699 7288 8774 10932 11398 13161 14873 17097 17548 21864 22796 26322 29746 34194 35096 37351 44619 45592 52644 59492 68388 74702 89238 97477 105288 112053 118984 126629 136776 149404 178476 194954 224106 253258 292431 298808 356952 379887 389908 448212 506516 584862 609793 759774 779816 896424 1013032 1169724 1219586 1519548 1829379 2339448 2439172 3039096 3658758 3996557 4878344 5191789 7317516 7993114 10383578 11989671 13549303 14635032 15575367 15986228 20767156 23979342 27098606 31150734 31972456 40647909 41534312 47958684 54197212 62301468 81295818 95917368 108394424 124602936 162591636 325183272 555521423 1111042846 1666564269 2222085692 3333128538 4444171384 6666257076 13332514152