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426052287072 = 25332112337043
BaseRepresentation
bin1100011001100101011…
…00011111101001100000
31111201201022112200022000
412030302230133221200
523440023341141242
6523420431044000
742531654454506
oct6146254375140
91451638480260
10426052287072
11154762455265
126a6a4070600
133123ab8b119
141689a1c8676
15b138b79a4c
hex6332b1fa60

426052287072 has 96 divisors (see below), whose sum is σ = 1248542386560. Its totient is φ = 141344300160.

The previous prime is 426052287071. The next prime is 426052287119. The reversal of 426052287072 is 270782250624.

426052287072 is a `hidden beast` number, since 42 + 6 + 0 + 522 + 87 + 0 + 7 + 2 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426052287071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 986218 + ... + 1350825.

It is an arithmetic number, because the mean of its divisors is an integer number (13005649860).

Almost surely, 2426052287072 is an apocalyptic number.

It is an amenable number.

426052287072 is an abundant number, since it is smaller than the sum of its proper divisors (822490099488).

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

426052287072 is a wasteful number, since it uses less digits than its factorization.

426052287072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337273 (or 2337259 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 426052287072 in words is "four hundred twenty-six billion, fifty-two million, two hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 211 216 288 422 432 633 844 864 1266 1688 1899 2532 3376 3798 5064 5697 6752 7596 10128 11394 15192 20256 22788 30384 45576 60768 91152 182304 2337043 4674086 7011129 9348172 14022258 18696344 21033387 28044516 37392688 42066774 56089032 63100161 74785376 84133548 112178064 126200322 168267096 224356128 252400644 336534192 493116073 504801288 673068384 986232146 1009602576 1479348219 1972464292 2019205152 2958696438 3944928584 4438044657 5917392876 7889857168 8876089314 11834785752 13314133971 15779714336 17752178628 23669571504 26628267942 35504357256 47339143008 53256535884 71008714512 106513071768 142017429024 213026143536 426052287072