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13367678144 = 263159114199
BaseRepresentation
bin11000111001100011…
…01001010011000000
31021111121122102001112
430130301221103000
5204334111200034
610050243422452
7652156250402
oct143461512300
937447572045
1013367678144
11573a784497
122710984a28
131350607532
1490b518b72
1553387d7ce
hex31cc694c0

13367678144 has 56 divisors (see below), whose sum is σ = 27846528000. Its totient is φ = 6358544640.

The previous prime is 13367678143. The next prime is 13367678173. The reversal of 13367678144 is 44187676331.

It is a junction number, because it is equal to n+sod(n) for n = 13367678092 and 13367678101.

It is not an unprimeable number, because it can be changed into a prime (13367678143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59957 + ... + 174155.

Almost surely, 213367678144 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 13367678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923264000).

13367678144 is an abundant number, since it is smaller than the sum of its proper divisors (14478849856).

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

13367678144 is a wasteful number, since it uses less digits than its factorization.

13367678144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114301 (or 114291 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 50.

The spelling of 13367678144 in words is "thirteen billion, three hundred sixty-seven million, six hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 59 62 64 118 124 236 248 472 496 944 992 1829 1888 1984 3658 3776 7316 14632 29264 58528 114199 117056 228398 456796 913592 1827184 3540169 3654368 6737741 7080338 7308736 13475482 14160676 26950964 28321352 53901928 56642704 107803856 113285408 208869971 215607712 226570816 417739942 431215424 835479884 1670959768 3341919536 6683839072 13367678144