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38632688704 = 267923112
BaseRepresentation
bin100011111110101100…
…000000110001000000
310200201101012221000101
4203332230000301000
51113104432014304
625425252332144
72535232302331
oct437654006100
9120641187011
1038632688704
1115425166905
1275a2014054
133848a0a81c
141c26b68288
15101194c8a4
hex8feb00c40

38632688704 has 63 divisors (see below), whose sum is σ = 77894890311. Its totient is φ = 19010509440.

The previous prime is 38632688701. The next prime is 38632688719. The reversal of 38632688704 is 40788623683.

The square root of 38632688704 is 196552.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38632688701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 124220709 + ... + 124221019.

Almost surely, 238632688704 is an apocalyptic number.

38632688704 is the 196552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38632688704

38632688704 is an abundant number, since it is smaller than the sum of its proper divisors (39262201607).

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

38632688704 is an frugal number, since it uses more digits than its factorization.

38632688704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 38632688704 in words is "thirty-eight billion, six hundred thirty-two million, six hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 79 158 311 316 622 632 1244 1264 2488 2528 4976 5056 6241 9952 12482 19904 24569 24964 49138 49928 96721 98276 99856 193442 196552 199712 386884 393104 399424 773768 786208 1547536 1572416 1940951 3095072 3881902 6190144 7640959 7763804 15281918 15527608 30563836 31055216 61127672 62110432 122255344 124220864 244510688 489021376 603635761 1207271522 2414543044 4829086088 9658172176 19316344352 38632688704