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10104291768 = 2331735370157
BaseRepresentation
bin10010110100100001…
…10100000110111000
3222002012000012112110
421122100310012320
5131143144314033
64350350012320
7505252030404
oct113220640670
928065005473
1010104291768
114315677a5a
121b5baa70a0
13c504a458c
146bbd50104
153e210e363
hex25a4341b8

10104291768 has 64 divisors (see below), whose sum is σ = 26822806560. Its totient is φ = 3160948736.

The previous prime is 10104291767. The next prime is 10104291773. The reversal of 10104291768 is 86719240101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104291761) 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, 108946 + ... + 179102.

Almost surely, 210104291768 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 10104291768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411403280).

10104291768 is an abundant number, since it is smaller than the sum of its proper divisors (16718514792).

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

10104291768 is a wasteful number, since it uses less digits than its factorization.

10104291768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70536 (or 70532 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 10104291768 in words is "ten billion, one hundred four million, two hundred ninety-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 353 408 706 1059 1412 2118 2824 4236 6001 8472 12002 18003 24004 36006 48008 70157 72012 140314 144024 210471 280628 420942 561256 841884 1192669 1683768 2385338 3578007 4770676 7156014 9541352 14312028 24765421 28624056 49530842 74296263 99061684 148592526 198123368 297185052 421012157 594370104 842024314 1263036471 1684048628 2526072942 3368097256 5052145884 10104291768