Search a number
-
+
964156078368 = 25337641248701
BaseRepresentation
bin11100000011111000010…
…11100011100100100000
310102011122200202112201000
432001330023203210200
5111244042424001433
62014532134512000
7126441454305540
oct16017413434440
93364580675630
10964156078368
11341994a7506a
12136a39b05600
136cbc5284462
1434945c1b320
151a12ea85113
hexe07c2e3920

964156078368 has 192 divisors, whose sum is σ = 3218880349440. Its totient is φ = 275042304000.

The previous prime is 964156078363. The next prime is 964156078423. The reversal of 964156078368 is 863870651469.

964156078368 is a `hidden beast` number, since 9 + 6 + 4 + 1 + 560 + 7 + 8 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (964156078363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3752418 + ... + 4001118.

It is an arithmetic number, because the mean of its divisors is an integer number (16765001820).

Almost surely, 2964156078368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964156078368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609440174720).

964156078368 is an abundant number, since it is smaller than the sum of its proper divisors (2254724271072).

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

964156078368 is a wasteful number, since it uses less digits than its factorization.

964156078368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249368 (or 249354 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 964156078368 in words is "nine hundred sixty-four billion, one hundred fifty-six million, seventy-eight thousand, three hundred sixty-eight".