Search a number
-
+
152226085296 = 2433171376777
BaseRepresentation
bin1000110111000101100…
…0011011100110110000
3112112220220020100211010
42031301120123212300
54443224334212141
6153533125150520
713666206242565
oct2156130334660
9475826210733
10152226085296
1159616724a6a
122560425b440
131147c814cac
14752129c86c
153e5e250416
hex237161b9b0

152226085296 has 20 divisors (see below), whose sum is σ = 393250720472. Its totient is φ = 50742028416.

The previous prime is 152226085283. The next prime is 152226085339. The reversal of 152226085296 is 692580622251.

152226085296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 3171376777 = 152226085296 / (1 + 5 + 2 + 2 + 2 + 6 + 0 + 8 + 5 + 2 + 9 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1585688341 + ... + 1585688436.

Almost surely, 2152226085296 is an apocalyptic number.

152226085296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152226085296 is an abundant number, since it is smaller than the sum of its proper divisors (241024635176).

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

152226085296 is a wasteful number, since it uses less digits than its factorization.

152226085296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171376788 (or 3171376782 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 152226085296 in words is "one hundred fifty-two billion, two hundred twenty-six million, eighty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 3171376777 6342753554 9514130331 12685507108 19028260662 25371014216 38056521324 50742028432 76113042648 152226085296