Search a number
-
+
107868432528 = 24323831955839
BaseRepresentation
bin110010001110101110…
…1011010100010010000
3101022102112111010111200
41210131131122202100
53231403304320103
6121315402511200
710536036356013
oct1443535324220
9338375433450
10107868432528
1141823a109aa
1218aa4b05500
13a230a0878c
14531407b37a
152c14de70a3
hex191d75a890

107868432528 has 60 divisors (see below), whose sum is σ = 302670151680. Its totient is φ = 35862245568.

The previous prime is 107868432467. The next prime is 107868432533. The reversal of 107868432528 is 825234868701.

107868432528 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 6 + 84 + 32 + 528 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 922768 + ... + 1033071.

It is an arithmetic number, because the mean of its divisors is an integer number (5044502528).

Almost surely, 2107868432528 is an apocalyptic number.

107868432528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107868432528 is an abundant number, since it is smaller than the sum of its proper divisors (194801719152).

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

107868432528 is a wasteful number, since it uses less digits than its factorization.

107868432528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956236 (or 1956227 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 107868432528 in words is "one hundred seven billion, eight hundred sixty-eight million, four hundred thirty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 383 766 1149 1532 2298 3064 3447 4596 6128 6894 9192 13788 18384 27576 55152 1955839 3911678 5867517 7823356 11735034 15646712 17602551 23470068 31293424 35205102 46940136 70410204 93880272 140820408 281640816 749086337 1498172674 2247259011 2996345348 4494518022 5992690696 6741777033 8989036044 11985381392 13483554066 17978072088 26967108132 35956144176 53934216264 107868432528