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10315193292 = 22331721126627
BaseRepresentation
bin10011001101101010…
…10101101111001100
3222121212212010001000
421212311111233030
5132111142141132
64423322220300
7513422460555
oct114665255714
928555763030
1010315193292
114413726438
121bba654690
13c850a7891
146dbd6d32c
154058bd87c
hex266d55bcc

10315193292 has 96 divisors (see below), whose sum is σ = 28451485440. Its totient is φ = 3220680960.

The previous prime is 10315193279. The next prime is 10315193393. The reversal of 10315193292 is 29239151301.

10315193292 is a `hidden beast` number, since 1 + 0 + 315 + 19 + 329 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374083 + ... + 400709.

It is an arithmetic number, because the mean of its divisors is an integer number (296369640).

Almost surely, 210315193292 is an apocalyptic number.

10315193292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315193292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14225742720).

10315193292 is an abundant number, since it is smaller than the sum of its proper divisors (18136292148).

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

10315193292 is a wasteful number, since it uses less digits than its factorization.

10315193292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26868 (or 26860 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 10315193292 in words is "ten billion, three hundred fifteen million, one hundred ninety-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 211 306 422 459 612 633 844 918 1266 1836 1899 2532 3587 3798 5697 7174 7596 10761 11394 14348 21522 22788 26627 32283 43044 53254 64566 79881 96849 106508 129132 159762 193698 239643 319524 387396 452659 479286 718929 905318 958572 1357977 1437858 1810636 2715954 2875716 4073931 5431908 5618297 8147862 11236594 12221793 16295724 16854891 22473188 24443586 33709782 48887172 50564673 67419564 95511049 101129346 151694019 191022098 202258692 286533147 303388038 382044196 573066294 606776076 859599441 1146132588 1719198882 2578798323 3438397764 5157596646 10315193292