Search a number
-
+
156612464640 = 21232517151331
BaseRepresentation
bin1001000111011011010…
…1001001000000000000
3112222020120222112002100
42101312311021000000
510031220242332030
6155540300350400
714213000661552
oct2216665110000
9488216875070
10156612464640
1160467720765
1226429245400
13119cb4b9428
147819a6d4d2
154119398360
hex2476d49000

156612464640 has 624 divisors, whose sum is σ = 580344276096. Its totient is φ = 38928384000.

The previous prime is 156612464621. The next prime is 156612464641. The reversal of 156612464640 is 46464216651.

156612464640 is a `hidden beast` number, since 1 + 5 + 66 + 124 + 6 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (156612464641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 473149275 + ... + 473149605.

It is an arithmetic number, because the mean of its divisors is an integer number (930038904).

Almost surely, 2156612464640 is an apocalyptic number.

156612464640 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 156612464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290172138048).

156612464640 is an abundant number, since it is smaller than the sum of its proper divisors (423731811456).

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

156612464640 is a wasteful number, since it uses less digits than its factorization.

156612464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 156612464640 in words is "one hundred fifty-six billion, six hundred twelve million, four hundred sixty-four thousand, six hundred forty".