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10212893664 = 253809131501
BaseRepresentation
bin10011000001011110…
…00110001111100000
3222100202100202022220
421200233012033200
5131404000044124
64405225431040
7511041110121
oct114057061740
928322322286
1010212893664
114370a04196
121b9033b480
13c69b3a45c
146cc540048
153eb912879
hex260bc63e0

10212893664 has 48 divisors (see below), whose sum is σ = 26842188240. Its totient is φ = 3400064000.

The previous prime is 10212893657. The next prime is 10212893689. The reversal of 10212893664 is 46639821201.

It is a tau number, because it is divible by the number of its divisors (48).

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, 11914 + ... + 143414.

It is an arithmetic number, because the mean of its divisors is an integer number (559212255).

Almost surely, 210212893664 is an apocalyptic number.

It is an amenable number.

10212893664 is an abundant number, since it is smaller than the sum of its proper divisors (16629294576).

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

10212893664 is a wasteful number, since it uses less digits than its factorization.

10212893664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132323 (or 132315 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 10212893664 in words is "ten billion, two hundred twelve million, eight hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 809 1618 2427 3236 4854 6472 9708 12944 19416 25888 38832 77664 131501 263002 394503 526004 789006 1052008 1578012 2104016 3156024 4208032 6312048 12624096 106384309 212768618 319152927 425537236 638305854 851074472 1276611708 1702148944 2553223416 3404297888 5106446832 10212893664