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10122894192 = 243437336691
BaseRepresentation
bin10010110110101111…
…10001101101110000
3222010111000022021010
421123113301231300
5131212430103232
64352252430520
7505566116025
oct113327615560
928114008233
1010122894192
114325123264
121b66178440
13c542b8828
146c05d354c
153e3a860cc
hex25b5f1b70

10122894192 has 80 divisors (see below), whose sum is σ = 26799479168. Its totient is φ = 3290837760.

The previous prime is 10122894107. The next prime is 10122894227. The reversal of 10122894192 is 29149822101.

It is a self number, because there is not a number n which added to its sum of digits gives 10122894192.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1509567 + ... + 1516257.

Almost surely, 210122894192 is an apocalyptic number.

10122894192 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 10122894192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13399739584).

10122894192 is an abundant number, since it is smaller than the sum of its proper divisors (16676584976).

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

10122894192 is a wasteful number, since it uses less digits than its factorization.

10122894192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7478 (or 7472 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 10122894192 in words is "ten billion, one hundred twenty-two million, eight hundred ninety-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 733 1032 1466 2064 2199 2932 4398 5864 6691 8796 11728 13382 17592 20073 26764 31519 35184 40146 53528 63038 80292 94557 107056 126076 160584 189114 252152 287713 321168 378228 504304 575426 756456 863139 1150852 1512912 1726278 2301704 3452556 4603408 4904503 6905112 9809006 13810224 14713509 19618012 29427018 39236024 58854036 78472048 117708072 210893629 235416144 421787258 632680887 843574516 1265361774 1687149032 2530723548 3374298064 5061447096 10122894192