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13388077368 = 2332503369673
BaseRepresentation
bin11000111011111110…
…11101100100111000
31021120001000210112100
430131333131210320
5204404321433433
610052252543400
7652524531351
oct143577354470
937501023470
1013388077368
115750247756
122717781b60
1313548ca593
14910108d28
1553555cb13
hex31dfdd938

13388077368 has 48 divisors (see below), whose sum is σ = 36331560720. Its totient is φ = 4453808256.

The previous prime is 13388077343. The next prime is 13388077403. The reversal of 13388077368 is 86377088331.

13388077368 is a `hidden beast` number, since 133 + 8 + 80 + 77 + 368 = 666.

It is a super-2 number, since 2×133880773682 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148621 + ... + 221052.

It is an arithmetic number, because the mean of its divisors is an integer number (756907515).

Almost surely, 213388077368 is an apocalyptic number.

13388077368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13388077368 is an abundant number, since it is smaller than the sum of its proper divisors (22943483352).

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

13388077368 is a wasteful number, since it uses less digits than its factorization.

13388077368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370188 (or 370181 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 13388077368 in words is "thirteen billion, three hundred eighty-eight million, seventy-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 503 1006 1509 2012 3018 4024 4527 6036 9054 12072 18108 36216 369673 739346 1109019 1478692 2218038 2957384 3327057 4436076 6654114 8872152 13308228 26616456 185945519 371891038 557836557 743782076 1115673114 1487564152 1673509671 2231346228 3347019342 4462692456 6694038684 13388077368