Search a number
-
+
151015501512 = 23322097437521
BaseRepresentation
bin1000110010100100111…
…0011010111011001000
3112102210112022100001200
42030221032122323020
54433234432022022
6153213042144200
713624206404031
oct2145116327310
9472715270050
10151015501512
115905534a4a7
1225326952060
1311318a86325
1474485b5a88
153ddcd23bac
hex232939aec8

151015501512 has 24 divisors (see below), whose sum is σ = 409000316790. Its totient is φ = 50338500480.

The previous prime is 151015501493. The next prime is 151015501541. The reversal of 151015501512 is 215105510151.

It is a happy number.

151015501512 is a `hidden beast` number, since 1 + 5 + 101 + 5 + 501 + 51 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110055408516 + 40960092996 = 331746^2 + 202386^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1510155015122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1048718689 + ... + 1048718832.

Almost surely, 2151015501512 is an apocalyptic number.

151015501512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151015501512 is an abundant number, since it is smaller than the sum of its proper divisors (257984815278).

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

151015501512 is a wasteful number, since it uses less digits than its factorization.

151015501512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097437533 (or 2097437526 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 27.

The spelling of 151015501512 in words is "one hundred fifty-one billion, fifteen million, five hundred one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2097437521 4194875042 6292312563 8389750084 12584625126 16779500168 18876937689 25169250252 37753875378 50338500504 75507750756 151015501512