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10175016992 = 257238316943
BaseRepresentation
bin10010111100111101…
…00111000000100000
3222021010002102022012
421132132213000200
5131314301020432
64401353532052
7510101134400
oct113636470040
928233072265
1010175016992
114351593958
121b7b714028
13c6203821a
146c74c0800
153e842ecb2
hex25e7a7020

10175016992 has 72 divisors (see below), whose sum is σ = 23364827136. Its totient is φ = 4349079168.

The previous prime is 10175016959. The next prime is 10175016997. The reversal of 10175016992 is 29961057101.

It is not an unprimeable number, because it can be changed into a prime (10175016997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592073 + ... + 609015.

It is an arithmetic number, because the mean of its divisors is an integer number (324511488).

Almost surely, 210175016992 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 10175016992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682413568).

10175016992 is an abundant number, since it is smaller than the sum of its proper divisors (13189810144).

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

10175016992 is a wasteful number, since it uses less digits than its factorization.

10175016992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17350 (or 17335 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 41.

The spelling of 10175016992 in words is "ten billion, one hundred seventy-five million, sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 383 392 766 784 1532 1568 2681 3064 5362 6128 10724 12256 16943 18767 21448 33886 37534 42896 67772 75068 85792 118601 135544 150136 237202 271088 300272 474404 542176 600544 830207 948808 1660414 1897616 3320828 3795232 6489169 6641656 12978338 13283312 25956676 26566624 45424183 51913352 90848366 103826704 181696732 207653408 317969281 363393464 635938562 726786928 1271877124 1453573856 2543754248 5087508496 10175016992