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13326936288 = 253719911973
BaseRepresentation
bin11000110100101100…
…01110100011100000
31021101202222111201220
430122112032203200
5204243143430123
610042230255040
7651153042441
oct143226164340
937352874656
1013326936288
115719787536
1226bb1b7480
131345041123
14905d512c8
1552eed1ce3
hex31a58e8e0

13326936288 has 96 divisors (see below), whose sum is σ = 35529725952. Its totient is φ = 4373107200.

The previous prime is 13326936277. The next prime is 13326936323. The reversal of 13326936288 is 88263962331.

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

It is a super-2 number, since 2×133269362882 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13326936288.

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, 6753670 + ... + 6755642.

It is an arithmetic number, because the mean of its divisors is an integer number (370101312).

Almost surely, 213326936288 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 13326936288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17764862976).

13326936288 is an abundant number, since it is smaller than the sum of its proper divisors (22202789664).

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

13326936288 is a wasteful number, since it uses less digits than its factorization.

13326936288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3040 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The spelling of 13326936288 in words is "thirteen billion, three hundred twenty-six million, nine hundred thirty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 991 1136 1704 1973 1982 2272 2973 3408 3946 3964 5919 5946 6816 7892 7928 11838 11892 15784 15856 23676 23784 31568 31712 47352 47568 63136 70361 94704 95136 140083 140722 189408 211083 280166 281444 420249 422166 560332 562888 840498 844332 1120664 1125776 1680996 1688664 1955243 2241328 2251552 3361992 3377328 3910486 4482656 5865729 6723984 6754656 7820972 11731458 13447968 15641944 23462916 31283888 46925832 62567776 93851664 138822253 187703328 277644506 416466759 555289012 832933518 1110578024 1665867036 2221156048 3331734072 4442312096 6663468144 13326936288