Search a number
-
+
10256355504 = 2432113630307
BaseRepresentation
bin10011000110101001…
…11001000010110000
3222110210010211202200
421203110321002300
5132001111334004
64413421143200
7512106404043
oct114324710260
928423124680
1010256355504
11439349976a
121ba29bab00
13c75b46915
146d4214c5a
1540064a239
hex2635390b0

10256355504 has 60 divisors (see below), whose sum is σ = 28957610136. Its totient is φ = 3388525056.

The previous prime is 10256355503. The next prime is 10256355589. The reversal of 10256355504 is 40555365201.

10256355504 is a `hidden beast` number, since 1 + 0 + 256 + 355 + 50 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10256355503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298882 + ... + 331425.

Almost surely, 210256355504 is an apocalyptic number.

It is an amenable number.

10256355504 is an abundant number, since it is smaller than the sum of its proper divisors (18701254632).

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

10256355504 is a wasteful number, since it uses less digits than its factorization.

10256355504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630434 (or 630425 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 10256355504 in words is "ten billion, two hundred fifty-six million, three hundred fifty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 630307 1260614 1890921 2521228 3781842 5042456 5672763 7563684 10084912 11345526 15127368 22691052 30254736 45382104 71224691 90764208 142449382 213674073 284898764 427348146 569797528 641022219 854696292 1139595056 1282044438 1709392584 2564088876 3418785168 5128177752 10256355504