Search a number
-
+
13744777992 = 23311192740187
BaseRepresentation
bin11001100110100000…
…01010101100001000
31022110220020001210120
430303100022230020
5211122130343432
610151514143240
7664415454021
oct146320125410
938426201716
1013744777992
115913629160
1227b7121b20
1313b078b63a
1494563bc48
15556a1bc2c
hex33340ab08

13744777992 has 64 divisors (see below), whose sum is σ = 39458707200. Its totient is φ = 3945867840.

The previous prime is 13744777961. The next prime is 13744777999. The reversal of 13744777992 is 29977744731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13744777999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365078 + ... + 1375109.

It is an arithmetic number, because the mean of its divisors is an integer number (616542300).

Almost surely, 213744777992 is an apocalyptic number.

13744777992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13744777992 is an abundant number, since it is smaller than the sum of its proper divisors (25713929208).

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

13744777992 is a wasteful number, since it uses less digits than its factorization.

13744777992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740226 (or 2740222 counting only the distinct ones).

The product of its digits is 18670176, while the sum is 60.

The spelling of 13744777992 in words is "thirteen billion, seven hundred forty-four million, seven hundred seventy-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 2740187 5480374 8220561 10960748 16441122 21921496 30142057 32882244 52063553 60284114 65764488 90426171 104127106 120568228 156190659 180852342 208254212 241136456 312381318 361704684 416508424 572699083 624762636 723409368 1145398166 1249525272 1718097249 2290796332 3436194498 4581592664 6872388996 13744777992