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10258058112 = 27373365941
BaseRepresentation
bin10011000110110110…
…11000101110000000
3222110220100100022020
421203123120232000
5132002030324422
64413521441440
7512130024651
oct114333305600
928426310266
1010258058112
114394451985
121ba34a0280
13c762c1893
146d4539528
1540088495c
hex2636d8b80

10258058112 has 64 divisors (see below), whose sum is σ = 27621302160. Its totient is φ = 3372503040.

The previous prime is 10258058101. The next prime is 10258058159. The reversal of 10258058112 is 21185085201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154939 + ... + 211002.

Almost surely, 210258058112 is an apocalyptic number.

10258058112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10258058112 is an abundant number, since it is smaller than the sum of its proper divisors (17363244048).

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

10258058112 is an equidigital number, since it uses as much as digits as its factorization.

10258058112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366031 (or 366019 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 33.

The spelling of 10258058112 in words is "ten billion, two hundred fifty-eight million, fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 292 384 438 584 876 1168 1752 2336 3504 4672 7008 9344 14016 28032 365941 731882 1097823 1463764 2195646 2927528 4391292 5855056 8782584 11710112 17565168 23420224 26713693 35130336 46840448 53427386 70260672 80141079 106854772 140521344 160282158 213709544 320564316 427419088 641128632 854838176 1282257264 1709676352 2564514528 3419352704 5129029056 10258058112