Search a number
-
+
13380669984 = 2531112671089
BaseRepresentation
bin11000111011000110…
…01101001000100000
31021112112002110111210
430131203031020200
5204400422414414
610051430110120
7652404550443
oct143543151040
937475073453
1013380669984
115747048450
1227151ab340
131353205b06
1490d13b65a
15534a97e59
hex31d8cd220

13380669984 has 48 divisors (see below), whose sum is σ = 38317376160. Its totient is φ = 4054748160.

The previous prime is 13380669983. The next prime is 13380669997. The reversal of 13380669984 is 48996608331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13380669983) 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, 6334489 + ... + 6336600.

It is an arithmetic number, because the mean of its divisors is an integer number (798278670).

Almost surely, 213380669984 is an apocalyptic number.

It is an amenable number.

13380669984 is an abundant number, since it is smaller than the sum of its proper divisors (24936706176).

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

13380669984 is a wasteful number, since it uses less digits than its factorization.

13380669984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12671113 (or 12671105 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 13380669984 in words is "thirteen billion, three hundred eighty million, six hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 12671089 25342178 38013267 50684356 76026534 101368712 139381979 152053068 202737424 278763958 304106136 405474848 418145937 557527916 608212272 836291874 1115055832 1216424544 1672583748 2230111664 3345167496 4460223328 6690334992 13380669984