Search a number
-
+
102373664724 = 2234315968101
BaseRepresentation
bin101111101010111110…
…0100010011111010100
3100210020121010000010000
41133111330202133110
53134130124232344
6115010234531300
710252625535552
oct1372574423724
9323217100100
10102373664724
113a4642a0591
1217a10896b30
139866507496
144d523c6bd2
1529e280ca69
hex17d5f227d4

102373664724 has 30 divisors (see below), whose sum is σ = 267624982394. Its totient is φ = 34124554800.

The previous prime is 102373664719. The next prime is 102373664791. The reversal of 102373664724 is 427466373201.

102373664724 is a `hidden beast` number, since 10 + 237 + 366 + 47 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92209395600 + 10164269124 = 303660^2 + 100818^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102373664724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 157983727 + ... + 157984374.

Almost surely, 2102373664724 is an apocalyptic number.

It is an amenable number.

102373664724 is an abundant number, since it is smaller than the sum of its proper divisors (165251317670).

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

102373664724 is a wasteful number, since it uses less digits than its factorization.

102373664724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315968117 (or 315968106 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 102373664724 in words is "one hundred two billion, three hundred seventy-three million, six hundred sixty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 315968101 631936202 947904303 1263872404 1895808606 2843712909 3791617212 5687425818 8531138727 11374851636 17062277454 25593416181 34124554908 51186832362 102373664724