Search a number
-
+
152436116313 = 32132356646643
BaseRepresentation
bin1000110111110111100…
…1101000101101011001
3112120110112110001012200
42031331321220231121
54444142121210223
6154010031000413
714004336416115
oct2157571505531
9476415401180
10152436116313
1159714239418
1225662669109
13114b41a1cc0
147541132745
153e728dba43
hex237de68b59

152436116313 has 24 divisors (see below), whose sum is σ = 247432540992. Its totient is φ = 89728280928.

The previous prime is 152436116309. The next prime is 152436116383. The reversal of 152436116313 is 313611634251.

152436116313 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 3 + 6 + 11 + 631 + 3 = 666.

It is not a de Polignac number, because 152436116313 - 22 = 152436116309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152436116303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28320631 + ... + 28326012.

It is an arithmetic number, because the mean of its divisors is an integer number (10309689208).

Almost surely, 2152436116313 is an apocalyptic number.

152436116313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

152436116313 is a deficient number, since it is larger than the sum of its proper divisors (94996424679).

152436116313 is a wasteful number, since it uses less digits than its factorization.

152436116313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56646685 (or 56646682 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 152436116313 in words is "one hundred fifty-two billion, four hundred thirty-six million, one hundred sixteen thousand, three hundred thirteen".

Divisors: 1 3 9 13 23 39 69 117 207 299 897 2691 56646643 169939929 509819787 736406359 1302872789 2209219077 3908618367 6627657231 11725855101 16937346257 50812038771 152436116313