Search a number
-
+
638263200132 = 2232132113421297
BaseRepresentation
bin10010100100110110111…
…00111000100110000100
32021000110122211000110200
421102123130320212010
540424130334401012
61205114123250500
764053520454235
oct11223334704604
92230418730420
10638263200132
1122675aa34148
12a3849079a30
1348259c4a42c
1422c6bd0b08c
15119091323dc
hex949b738984

638263200132 has 36 divisors (see below), whose sum is σ = 1614608991996. Its totient is φ = 212593328640.

The previous prime is 638263200079. The next prime is 638263200181. The reversal of 638263200132 is 231002362836.

It is a happy number.

638263200132 is a `hidden beast` number, since 6 + 3 + 8 + 2 + 632 + 0 + 0 + 13 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 550068455556 + 88194744576 = 741666^2 + 296976^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6663093 + ... + 6758204.

Almost surely, 2638263200132 is an apocalyptic number.

It is an amenable number.

638263200132 is an abundant number, since it is smaller than the sum of its proper divisors (976345791864).

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

638263200132 is a wasteful number, since it uses less digits than its factorization.

638263200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13422628 (or 13422623 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 638263200132 its reverse (231002362836), we get a palindrome (869265562968).

The spelling of 638263200132 in words is "six hundred thirty-eight billion, two hundred sixty-three million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1321 2642 3963 5284 7926 11889 15852 23778 47556 13421297 26842594 40263891 53685188 80527782 120791673 161055564 241583346 483166692 17729533337 35459066674 53188600011 70918133348 106377200022 159565800033 212754400044 319131600066 638263200132