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10245194464 = 253121148947
BaseRepresentation
bin10011000101010100…
…10100001011100000
3222110000010210200211
421202222110023200
5131440232210324
64412342023504
7511612500421
oct114252241340
928400123624
1010245194464
11438816626a
121b9b117b94
13c7373975b
146d294b648
153ee693294
hex262a942e0

10245194464 has 48 divisors (see below), whose sum is σ = 20919983616. Its totient is φ = 4933756800.

The previous prime is 10245194441. The next prime is 10245194507. The reversal of 10245194464 is 46449154201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184839 + ... + 233785.

It is an arithmetic number, because the mean of its divisors is an integer number (435832992).

Almost surely, 210245194464 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 10245194464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10459991808).

10245194464 is an abundant number, since it is smaller than the sum of its proper divisors (10674789152).

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

10245194464 is a wasteful number, since it uses less digits than its factorization.

10245194464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49199 (or 49191 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 10245194464 in words is "ten billion, two hundred forty-five million, one hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 124 211 248 422 496 844 992 1688 3376 6541 6752 13082 26164 48947 52328 97894 104656 195788 209312 391576 783152 1517357 1566304 3034714 6069428 10327817 12138856 20655634 24277712 41311268 48555424 82622536 165245072 320162327 330490144 640324654 1280649308 2561298616 5122597232 10245194464