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152672264416 = 257681572609
BaseRepresentation
bin1000111000101111111…
…0011110000011100000
3112121001222210121111201
42032023332132003200
510000133044430131
6154045304250544
714013234556420
oct2161376360340
9477058717451
10152672264416
1159825570a41
1225709770a54
13115210a47c9
147564644480
153e884d6761
hex238bf9e0e0

152672264416 has 24 divisors (see below), whose sum is σ = 343512595440. Its totient is φ = 65430970368.

The previous prime is 152672264413. The next prime is 152672264461. The reversal of 152672264416 is 614462276251.

152672264416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152672264413) 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 3 ways as a sum of consecutive naturals, for example, 340786081 + ... + 340786528.

It is an arithmetic number, because the mean of its divisors is an integer number (14313024810).

Almost surely, 2152672264416 is an apocalyptic number.

152672264416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152672264416 is an abundant number, since it is smaller than the sum of its proper divisors (190840331024).

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

152672264416 is an equidigital number, since it uses as much as digits as its factorization.

152672264416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681572626 (or 681572618 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The spelling of 152672264416 in words is "one hundred fifty-two billion, six hundred seventy-two million, two hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 681572609 1363145218 2726290436 4771008263 5452580872 9542016526 10905161744 19084033052 21810323488 38168066104 76336132208 152672264416