Search a number
-
+
13737346956 = 223514133073
BaseRepresentation
bin11001100101100111…
…10100011110001100
31022110101020112100000
430302303310132030
5211113230100311
610151051004300
7664265344134
oct146263643614
938411215300
1013737346956
11590a413103
1227b4739690
1313ac089188
14944665ac4
15556050056
hex332cf478c

13737346956 has 36 divisors (see below), whose sum is σ = 36011072552. Its totient is φ = 4579115328.

The previous prime is 13737346937. The next prime is 13737346993. The reversal of 13737346956 is 65964373731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7065565 + ... + 7067508.

Almost surely, 213737346956 is an apocalyptic number.

It is an amenable number.

13737346956 is an abundant number, since it is smaller than the sum of its proper divisors (22273725596).

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

13737346956 is a wasteful number, since it uses less digits than its factorization.

13737346956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14133092 (or 14133078 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 54.

The spelling of 13737346956 in words is "thirteen billion, seven hundred thirty-seven million, three hundred forty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 14133073 28266146 42399219 56532292 84798438 127197657 169596876 254395314 381592971 508790628 763185942 1144778913 1526371884 2289557826 3434336739 4579115652 6868673478 13737346956