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38243776688 = 24131952318503
BaseRepresentation
bin100011100111100000…
…011011100010110000
310122201021102011000122
4203213200123202300
51111310401323223
625322520505412
72522500511135
oct434740334260
9118637364018
1038243776688
1115245684517
1274b391b268
1337b627c080
141bcb24c58c
15edc7295c8
hex8e781b8b0

38243776688 has 80 divisors (see below), whose sum is σ = 84162113280. Its totient is φ = 16689100032.

The previous prime is 38243776667. The next prime is 38243776693. The reversal of 38243776688 is 88667734283.

It is a super-2 number, since 2×382437766882 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38243776688.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2057645 + ... + 2076147.

It is an arithmetic number, because the mean of its divisors is an integer number (1052026416).

Almost surely, 238243776688 is an apocalyptic number.

38243776688 is a gapful number since it is divisible by the number (38) 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 38243776688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42081056640).

38243776688 is an abundant number, since it is smaller than the sum of its proper divisors (45918336592).

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

38243776688 is a wasteful number, since it uses less digits than its factorization.

38243776688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19066 (or 19060 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 62.

The spelling of 38243776688 in words is "thirty-eight billion, two hundred forty-three million, seven hundred seventy-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 523 988 1046 1976 2092 3952 4184 6799 8368 9937 13598 18503 19874 27196 37006 39748 54392 74012 79496 108784 129181 148024 158992 240539 258362 296048 351557 481078 516724 703114 962156 1033448 1406228 1924312 2066896 2812456 3848624 4570241 5624912 9140482 9677069 18280964 19354138 36561928 38708276 73123856 77416552 125801897 154833104 183864311 251603794 367728622 503207588 735457244 1006415176 1470914488 2012830352 2390236043 2941828976 4780472086 9560944172 19121888344 38243776688