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38750216912544 = 2532691553966227
BaseRepresentation
bin10001100111110001111001…
…11010011111111010100000
312002012111002020120000210010
420303320330322133322200
520034340421012200134
6214225334235204520
711106416333062014
oct1063707472377240
9162174066500703
1038750216912544
111138a96925a5a5
12441a0752a6740
13188118c169377
1497d7403a6544
15472eae736ce9
hex233e3ce9fea0

38750216912544 has 96 divisors (see below), whose sum is σ = 102163305948480. Its totient is φ = 12860421681152.

The previous prime is 38750216912509. The next prime is 38750216912557. The reversal of 38750216912544 is 44521961205783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×387502169125442 (a number of 28 digits) contains 22 as substring.

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, 39621559 + ... + 40587785.

It is an arithmetic number, because the mean of its divisors is an integer number (1064201103630).

It is a 1-persistent number, because it is pandigital, but 2⋅38750216912544 = 77500433825088 is not.

Almost surely, 238750216912544 is an apocalyptic number.

It is an amenable number.

38750216912544 is an abundant number, since it is smaller than the sum of its proper divisors (63413089035936).

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

38750216912544 is a wasteful number, since it uses less digits than its factorization.

38750216912544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968062 (or 968054 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 38750216912544 in words is "thirty-eight trillion, seven hundred fifty billion, two hundred sixteen million, nine hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 269 538 807 1076 1553 1614 2152 3106 3228 4304 4659 6212 6456 8608 9318 12424 12912 18636 24848 25824 37272 49696 74544 149088 417757 835514 966227 1253271 1671028 1932454 2506542 2898681 3342056 3864908 5013084 5797362 6684112 7729816 10026168 11594724 13368224 15459632 20052336 23189448 30919264 40104672 46378896 92757792 259915063 519830126 779745189 1039660252 1500550531 1559490378 2079320504 3001101062 3118980756 4158641008 4501651593 6002202124 6237961512 8317282016 9003303186 12004404248 12475923024 18006606372 24008808496 24951846048 36013212744 48017616992 72026425488 144052850976 403648092839 807296185678 1210944278517 1614592371356 2421888557034 3229184742712 4843777114068 6458369485424 9687554228136 12916738970848 19375108456272 38750216912544