Search a number
-
+
152106068088 = 233213379428777
BaseRepresentation
bin1000110110101000111…
…0100110100001111000
3112112121112101212011100
42031222032212201320
54443003123134323
6153513200531400
713663221150312
oct2155216464170
9475545355140
10152106068088
1159564a01297
1225590020b60
13114609b32b0
14750d37a7b2
153e53944943
hex236a3a6878

152106068088 has 96 divisors (see below), whose sum is σ = 444814297200. Its totient is φ = 46678270464.

The previous prime is 152106068047. The next prime is 152106068111. The reversal of 152106068088 is 880860601251.

152106068088 is a `hidden beast` number, since 1 + 521 + 0 + 60 + 68 + 0 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140356 + ... + 569132.

Almost surely, 2152106068088 is an apocalyptic number.

152106068088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152106068088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222407148600).

152106068088 is an abundant number, since it is smaller than the sum of its proper divisors (292708229112).

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

152106068088 is a wasteful number, since it uses less digits than its factorization.

152106068088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429181 (or 429174 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 152106068088 in words is "one hundred fifty-two billion, one hundred six million, sixty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 379 468 758 936 1137 1516 2274 3032 3411 4548 4927 6822 9096 9854 13644 14781 19708 27288 29562 39416 44343 59124 88686 118248 177372 354744 428777 857554 1286331 1715108 2572662 3430216 3858993 5145324 5574101 7717986 10290648 11148202 15435972 16722303 22296404 30871944 33444606 44592808 50166909 66889212 100333818 133778424 162506483 200667636 325012966 401335272 487519449 650025932 975038898 1300051864 1462558347 1950077796 2112584279 2925116694 3900155592 4225168558 5850233388 6337752837 8450337116 11700466776 12675505674 16900674232 19013258511 25351011348 38026517022 50702022696 76053034044 152106068088