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156955968 = 26341317137
BaseRepresentation
bin10010101101011…
…11010101000000
3101221100012010000
421112233111000
5310140042333
623324040000
73614050401
oct1126572500
9357305100
10156955968
1180663384
1244693000
1326696070
1416bb99a8
15dba5713
hex95af540

156955968 has 280 divisors, whose sum is σ = 534402792. Its totient is φ = 45121536.

The previous prime is 156955943. The next prime is 156956021. The reversal of 156955968 is 869559651.

It can be written as a sum of positive squares in 4 ways, for example, as 22581504 + 134374464 = 4752^2 + 11592^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1145596 + ... + 1145732.

Almost surely, 2156955968 is an apocalyptic number.

156955968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267201396).

156955968 is an abundant number, since it is smaller than the sum of its proper divisors (377446824).

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

156955968 is a wasteful number, since it uses less digits than its factorization.

156955968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 54.

The square root of 156955968 is about 12528.2068948433. The cubic root of 156955968 is about 539.4186335822.

The spelling of 156955968 in words is "one hundred fifty-six million, nine hundred fifty-five thousand, nine hundred sixty-eight".