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38815181496 = 23327135924173
BaseRepresentation
bin100100001001100100…
…001010101010111000
310201012002121112001200
4210021210022222320
51113443141301441
625455332014200
72542606412310
oct441144125270
9121162545050
1038815181496
11155091813a3
127633161360
133877775220
141c430b0440
1510229997b6
hex90990aab8

38815181496 has 96 divisors (see below), whose sum is σ = 129383960160. Its totient is φ = 10236969216.

The previous prime is 38815181423. The next prime is 38815181497. The reversal of 38815181496 is 69418151883.

It is a happy number.

38815181496 is a `hidden beast` number, since 3 + 8 + 81 + 518 + 1 + 49 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38815181497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2955535 + ... + 2968638.

It is an arithmetic number, because the mean of its divisors is an integer number (1347749585).

Almost surely, 238815181496 is an apocalyptic number.

38815181496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38815181496 is an abundant number, since it is smaller than the sum of its proper divisors (90568778664).

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

38815181496 is a wasteful number, since it uses less digits than its factorization.

38815181496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5924205 (or 5924198 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 38815181496 in words is "thirty-eight billion, eight hundred fifteen million, one hundred eighty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 5924173 11848346 17772519 23696692 35545038 41469211 47393384 53317557 71090076 77014249 82938422 106635114 124407633 142180152 154028498 165876844 213270228 231042747 248815266 308056996 331753688 373222899 426540456 462085494 497630532 539099743 616113992 693128241 746445798 924170988 995261064 1078199486 1386256482 1492891596 1617299229 1848341976 2156398972 2772512964 2985783192 3234598458 4312797944 4851897687 5545025928 6469196916 9703795374 12938393832 19407590748 38815181496