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38625836704 = 2571322957923
BaseRepresentation
bin100011111110010001…
…110111111010100000
310200200220022210211121
4203332101313322200
51113101203233304
625424445422024
72535120123550
oct437621677240
9120626283747
1038625836704
11154213068a4
12759b86a914
13384747baa0
141c25ca3160
151011047554
hex8fe477ea0

38625836704 has 96 divisors (see below), whose sum is σ = 94003701120. Its totient is φ = 15213560832.

The previous prime is 38625836701. The next prime is 38625836707. The reversal of 38625836704 is 40763852683.

It is an interprime number because it is at equal distance from previous prime (38625836701) and next prime (38625836707).

It is a super-2 number, since 2×386258367042 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (38625836701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637887 + ... + 695809.

It is an arithmetic number, because the mean of its divisors is an integer number (979205220).

Almost surely, 238625836704 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 38625836704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47001850560).

38625836704 is an abundant number, since it is smaller than the sum of its proper divisors (55377864416).

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

38625836704 is a wasteful number, since it uses less digits than its factorization.

38625836704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58182 (or 58174 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 38625836704 in words is "thirty-eight billion, six hundred twenty-five million, eight hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 229 364 416 458 728 916 1456 1603 1832 2912 2977 3206 3664 5954 6412 7328 11908 12824 20839 23816 25648 41678 47632 51296 57923 83356 95264 115846 166712 231692 333424 405461 463384 666848 752999 810922 926768 1505998 1621844 1853536 3011996 3243688 5270993 6023992 6487376 10541986 12047984 12974752 13264367 21083972 24095968 26528734 42167944 53057468 84335888 92850569 106114936 168671776 172436771 185701138 212229872 344873542 371402276 424459744 689747084 742804552 1207057397 1379494168 1485609104 2414114794 2758988336 2971218208 4828229588 5517976672 9656459176 19312918352 38625836704