Search a number
-
+
13008645378 = 2321742511913
BaseRepresentation
bin11000001110110000…
…00010110100000010
31020120121001122200200
430013120002310002
5203120203123003
65550500230030
7640236442551
oct140730026402
936517048620
1013008645378
11557604a8a3
12263069b316
1312c410ab01
148b5979d98
155120ad6a3
hex307602d02

13008645378 has 24 divisors (see below), whose sum is σ = 29843363628. Its totient is φ = 4081143552.

The previous prime is 13008645373. The next prime is 13008645437. The reversal of 13008645378 is 87354680031.

13008645378 is a `hidden beast` number, since 1 + 30 + 0 + 86 + 4 + 537 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12535713369 + 472932009 = 111963^2 + 21747^2 .

It is not an unprimeable number, because it can be changed into a prime (13008645373) 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, 21255651 + ... + 21256262.

Almost surely, 213008645378 is an apocalyptic number.

13008645378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13008645378 is an abundant number, since it is smaller than the sum of its proper divisors (16834718250).

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

13008645378 is a wasteful number, since it uses less digits than its factorization.

13008645378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42511938 (or 42511935 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13008645378 in words is "thirteen billion, eight million, six hundred forty-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 42511913 85023826 127535739 255071478 382607217 722702521 765214434 1445405042 2168107563 4336215126 6504322689 13008645378