Search a number
-
+
156964806720 = 26345411271163
BaseRepresentation
bin1001001000101111010…
…1001110000001000000
3120000011010222100120000
42102023311032001000
510032430442303340
6200035244320000
714224506562131
oct2221365160100
9500133870500
10156964806720
11606285a5567
1226507243000
1311a564b2677
147850789c88
15413a295d30
hex248bd4e040

156964806720 has 560 divisors, whose sum is σ = 576969136128. Its totient is φ = 40479989760.

The previous prime is 156964806683. The next prime is 156964806721. The reversal of 156964806720 is 27608469651.

156964806720 is a `hidden beast` number, since 1 + 5 + 6 + 96 + 480 + 6 + 72 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (156964806721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134964859 + ... + 134966021.

Almost surely, 2156964806720 is an apocalyptic number.

156964806720 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 156964806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288484568064).

156964806720 is an abundant number, since it is smaller than the sum of its proper divisors (420004329408).

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

156964806720 is a wasteful number, since it uses less digits than its factorization.

156964806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 15696 and 4806720, that added together give a square (4822416 = 21962).

The spelling of 156964806720 in words is "one hundred fifty-six billion, nine hundred sixty-four million, eight hundred six thousand, seven hundred twenty".