Search a number
-
+
663111968256 = 2933173776261
BaseRepresentation
bin10011010011001001000…
…11011010011000000000
32100101121102011020011000
421221210203122120000
541331023130441011
61224343542452000
765623350505323
oct11514443323000
92311542136130
10663111968256
11236251467451
12a8622a34000
134a6ba04311a
14241481687ba
15123b08d0356
hex9a648da600

663111968256 has 320 divisors, whose sum is σ = 2134518471360. Its totient is φ = 202409902080.

The previous prime is 663111968237. The next prime is 663111968261. The reversal of 663111968256 is 652869111366.

663111968256 is a `hidden beast` number, since 6 + 6 + 311 + 19 + 68 + 256 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8657166 + ... + 8733426.

It is an arithmetic number, because the mean of its divisors is an integer number (6670370223).

Almost surely, 2663111968256 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 663111968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067259235680).

663111968256 is an abundant number, since it is smaller than the sum of its proper divisors (1471406503104).

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

663111968256 is a wasteful number, since it uses less digits than its factorization.

663111968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76342 (or 76320 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 663111968256 in words is "six hundred sixty-three billion, one hundred eleven million, nine hundred sixty-eight thousand, two hundred fifty-six".