Search a number
-
+
13014177984 = 26361953277
BaseRepresentation
bin11000001111011010…
…01001100011000000
31020120222110202000000
430013231021203000
5203123112143414
65551215000000
7640334454603
oct140755114300
936528422000
1013014177984
1155791895a5
122632509000
1312c52c7142
148b65ba33a
15512802b09
hex307b498c0

13014177984 has 392 divisors, whose sum is σ = 41676614640. Its totient is φ = 4017641472.

The previous prime is 13014177973. The next prime is 13014177989. The reversal of 13014177984 is 48977141031.

It is not an unprimeable number, because it can be changed into a prime (13014177989) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46982454 + ... + 46982730.

Almost surely, 213014177984 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 13014177984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20838307320).

13014177984 is an abundant number, since it is smaller than the sum of its proper divisors (28662436656).

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

13014177984 is an equidigital number, since it uses as much as digits as its factorization.

13014177984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 13014177984 in words is "thirteen billion, fourteen million, one hundred seventy-seven thousand, nine hundred eighty-four".