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152326222416 = 24321057820989
BaseRepresentation
bin1000110111011101011…
…0011011001001010000
3112120011212122212010100
42031313112123021100
54443431003104131
6153551103332400
714001533345544
oct2156726331120
9476155585110
10152326222416
11596681aa515
12256318b1100
13114974a6024
1475306c7a24
153e67e307e6
hex237759b250

152326222416 has 30 divisors (see below), whose sum is σ = 426301858970. Its totient is φ = 50775407424.

The previous prime is 152326222403. The next prime is 152326222453. The reversal of 152326222416 is 614222623251.

152326222416 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 2 + 622 + 24 + 1 + 6 = 666.

152326222416 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., 93393804816 + 58932417600 = 305604^2 + 242760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 528910351 + ... + 528910638.

Almost surely, 2152326222416 is an apocalyptic number.

152326222416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152326222416 is an abundant number, since it is smaller than the sum of its proper divisors (273975636554).

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

152326222416 is a wasteful number, since it uses less digits than its factorization.

152326222416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057821003 (or 1057820994 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 152326222416 its reverse (614222623251), we get a palindrome (766548845667).

The spelling of 152326222416 in words is "one hundred fifty-two billion, three hundred twenty-six million, two hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1057820989 2115641978 3173462967 4231283956 6346925934 8462567912 9520388901 12693851868 16925135824 19040777802 25387703736 38081555604 50775407472 76163111208 152326222416