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150268817232 = 24321043533453
BaseRepresentation
bin1000101111110010111…
…0000010111101010000
3112100212111021211210100
42023330232002331100
54430222304122412
6153011010132400
713566541604652
oct2137456027520
9470774254710
10150268817232
1158801914556
1225158881100
131122a17cb01
1473b73686d2
153d974cdedc
hex22fcb82f50

150268817232 has 30 divisors (see below), whose sum is σ = 420543981962. Its totient is φ = 50089605696.

The previous prime is 150268817227. The next prime is 150268817239. The reversal of 150268817232 is 232718862051.

150268817232 is a `hidden beast` number, since 1 + 502 + 68 + 81 + 7 + 2 + 3 + 2 = 666.

150268817232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 106083095616 + 44185721616 = 325704^2 + 210204^2 .

It is a super-3 number, since 3×1502688172323 (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150268817239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 521766583 + ... + 521766870.

Almost surely, 2150268817232 is an apocalyptic number.

150268817232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150268817232 is an abundant number, since it is smaller than the sum of its proper divisors (270275164730).

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

150268817232 is a wasteful number, since it uses less digits than its factorization.

150268817232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043533467 (or 1043533458 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 150268817232 in words is "one hundred fifty billion, two hundred sixty-eight million, eight hundred seventeen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1043533453 2087066906 3130600359 4174133812 6261200718 8348267624 9391801077 12522401436 16696535248 18783602154 25044802872 37567204308 50089605744 75134408616 150268817232