Search a number
-
+
156642232320 = 211355717232
BaseRepresentation
bin1001000111100010011…
…0101100100000000000
3112222022122222212200000
42101320212230200000
510031300402413240
6155543242400000
714213512002030
oct2217046544000
9488278885600
10156642232320
1160482502652
1226437200000
1311a0470c742
14781d9bb8c0
15411bcc8430
hex24789ac800

156642232320 has 1728 divisors, whose sum is σ = 712187199360. Its totient is φ = 32232701952.

The previous prime is 156642232309. The next prime is 156642232391. The reversal of 156642232320 is 23232246651.

156642232320 is a `hidden beast` number, since 1 + 5 + 6 + 642 + 2 + 3 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6810531829 + ... + 6810531851.

It is an arithmetic number, because the mean of its divisors is an integer number (412145370).

Almost surely, 2156642232320 is an apocalyptic number.

156642232320 is a gapful number since it is divisible by the number (10) 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 156642232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356093599680).

156642232320 is an abundant number, since it is smaller than the sum of its proper divisors (555544967040).

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

156642232320 is an equidigital number, since it uses as much as digits as its factorization.

156642232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 156642232320 its reverse (23232246651), we get a palindrome (179874478971).

The spelling of 156642232320 in words is "one hundred fifty-six billion, six hundred forty-two million, two hundred thirty-two thousand, three hundred twenty".