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248000025792 = 2633141666671
BaseRepresentation
bin1110011011110111110…
…1000001010011000000
3212201010112210122021110
43212331331001103000
513030401001311132
6305532445123320
723626446303111
oct3467575012300
9781115718243
10248000025792
11961a3605002
1240092859540
131a5039234bc
14c008d62208
1566b745e1cc
hex39bdf414c0

248000025792 has 56 divisors (see below), whose sum is σ = 677333420032. Its totient is φ = 80000006400.

The previous prime is 248000025751. The next prime is 248000025851. The reversal of 248000025792 is 297520000842.

248000025792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 248000025792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20827384 + ... + 20839287.

Almost surely, 2248000025792 is an apocalyptic number.

It is an amenable number.

248000025792 is an abundant number, since it is smaller than the sum of its proper divisors (429333394240).

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

248000025792 is a wasteful number, since it uses less digits than its factorization.

248000025792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41666717 (or 41666707 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 248000025792 in words is "two hundred forty-eight billion, twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 41666671 83333342 125000013 166666684 250000026 333333368 500000052 666666736 1000000104 1291666801 1333333472 2000000208 2583333602 2666666944 3875000403 4000000416 5166667204 7750000806 8000000832 10333334408 15500001612 20666668816 31000003224 41333337632 62000006448 82666675264 124000012896 248000025792