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807400013472 = 253213215651713
BaseRepresentation
bin10111011111111001100…
…10100111111010100000
32212012001002120101002200
423233330302213322200
5101212023400412342
61414525304213200
7112222060610223
oct13577462477240
92765032511080
10807400013472
11291464293408
1211059076a200
135b1a30ca080
142b11508b5ba
1516007cc394c
hexbbfcca7ea0

807400013472 has 72 divisors (see below), whose sum is σ = 2472662552724. Its totient is φ = 248430772224.

The previous prime is 807400013447. The next prime is 807400013501. The reversal of 807400013472 is 274310004708.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 767943752976 + 39456260496 = 876324^2 + 198636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107822113 + ... + 107829600.

Almost surely, 2807400013472 is an apocalyptic number.

It is an amenable number.

807400013472 is an abundant number, since it is smaller than the sum of its proper divisors (1665262539252).

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

807400013472 is a wasteful number, since it uses less digits than its factorization.

807400013472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215651742 (or 215651731 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 807400013472 in words is "eight hundred seven billion, four hundred million, thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 215651713 431303426 646955139 862606852 1293910278 1725213704 1940865417 2587820556 2803472269 3450427408 3881730834 5175641112 5606944538 6900854816 7763461668 8410416807 10351282224 11213889076 15526923336 16820833614 20702564448 22427778152 25231250421 31053846672 33641667228 44855556304 50462500842 62107693344 67283334456 89711112608 100925001684 134566668912 201850003368 269133337824 403700006736 807400013472