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38730113376 = 2533183156797
BaseRepresentation
bin100100000100011111…
…101010000101100000
310200222011112121112120
4210010133222011200
51113304402112001
625443052424240
72540524350303
oct440437520540
9120864477476
1038730113376
1115475159469
12760a778080
133862c5c066
141c35a88b3a
15101a294236
hex9047ea160

38730113376 has 96 divisors (see below), whose sum is σ = 106211202048. Its totient is φ = 12342981120.

The previous prime is 38730113339. The next prime is 38730113381. The reversal of 38730113376 is 67331103783.

It is a happy number.

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

It is a congruent number.

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, 168610 + ... + 325406.

It is an arithmetic number, because the mean of its divisors is an integer number (1106366688).

Almost surely, 238730113376 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 38730113376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53105601024).

38730113376 is an abundant number, since it is smaller than the sum of its proper divisors (67481088672).

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

38730113376 is a wasteful number, since it uses less digits than its factorization.

38730113376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156924 (or 156916 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 38730113376 in words is "thirty-eight billion, seven hundred thirty million, one hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 83 93 96 124 166 186 248 249 332 372 496 498 664 744 992 996 1328 1488 1992 2573 2656 2976 3984 5146 7719 7968 10292 15438 20584 30876 41168 61752 82336 123504 156797 247008 313594 470391 627188 940782 1254376 1881564 2508752 3763128 4860707 5017504 7526256 9721414 13014151 14582121 15052512 19442828 26028302 29164242 38885656 39042453 52056604 58328484 77771312 78084906 104113208 116656968 155542624 156169812 208226416 233313936 312339624 403438681 416452832 466627872 624679248 806877362 1210316043 1249358496 1613754724 2420632086 3227509448 4841264172 6455018896 9682528344 12910037792 19365056688 38730113376