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268375959072 = 25331323893871
BaseRepresentation
bin1111100111110001110…
…1000010011000100000
3221122201120201022001000
43321330131002120200
513344113221142242
6323142404112000
725250415004314
oct3717435023040
9848646638030
10268375959072
11a38aa261291
124401a695600
131c400164260
14cdbd145b44
156eab1d7a4c
hex3e7c742620

268375959072 has 96 divisors (see below), whose sum is σ = 842975804160. Its totient is φ = 82577214720.

The previous prime is 268375959001. The next prime is 268375959077. The reversal of 268375959072 is 270959573862.

268375959072 is a `hidden beast` number, since 2 + 6 + 8 + 37 + 5 + 9 + 590 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (268375959077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11935704 + ... + 11958167.

It is an arithmetic number, because the mean of its divisors is an integer number (8780997960).

Almost surely, 2268375959072 is an apocalyptic number.

It is an amenable number.

268375959072 is an abundant number, since it is smaller than the sum of its proper divisors (574599845088).

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

268375959072 is a wasteful number, since it uses less digits than its factorization.

268375959072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23893903 (or 23893889 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 268375959072 in words is "two hundred sixty-eight billion, three hundred seventy-five million, nine hundred fifty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 23893871 47787742 71681613 95575484 143363226 191150968 215044839 286726452 310620323 382301936 430089678 573452904 621240646 645134517 764603872 860179356 931860969 1146905808 1242481292 1290269034 1720358712 1863721938 2293811616 2484962584 2580538068 2795582907 3440717424 3727443876 4969925168 5161076136 5591165814 6881434848 7454887752 8386748721 9939850336 10322152272 11182331628 14909775504 16773497442 20644304544 22364663256 29819551008 33546994884 44729326512 67093989768 89458653024 134187979536 268375959072