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13738854976 = 267112253447
BaseRepresentation
bin11001100101110011…
…00100101001000000
31022110111002010221121
430302321210221000
5211114121324401
610151143202024
7664314224530
oct146271445100
938414063847
1013738854976
115910253100
1227b5146314
1313ac4966b2
149449394c0
1555624bca1
hex332e64a40

13738854976 has 84 divisors (see below), whose sum is σ = 34247921344. Its totient is φ = 5352779520.

The previous prime is 13738854971. The next prime is 13738855007. The reversal of 13738854976 is 67945883731.

It is a super-2 number, since 2×137388549762 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13738854971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72516 + ... + 180931.

Almost surely, 213738854976 is an apocalyptic number.

13738854976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13738854976 is an abundant number, since it is smaller than the sum of its proper divisors (20509066368).

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

13738854976 is a wasteful number, since it uses less digits than its factorization.

13738854976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253488 (or 253467 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 61.

The spelling of 13738854976 in words is "thirteen billion, seven hundred thirty-eight million, eight hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 352 448 484 616 704 847 968 1232 1694 1936 2464 3388 3872 4928 6776 7744 13552 27104 54208 253447 506894 1013788 1774129 2027576 2787917 3548258 4055152 5575834 7096516 8110304 11151668 14193032 16220608 19515419 22303336 28386064 30667087 39030838 44606672 56772128 61334174 78061676 89213344 113544256 122668348 156123352 178426688 214669609 245336696 312246704 429339218 490673392 624493408 858678436 981346784 1248986816 1717356872 1962693568 3434713744 6869427488 13738854976