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2260106002584 = 2332117126806457
BaseRepresentation
bin100000111000111000110…
…100001100000010011000
322000001201200011211102100
4200320320310030002120
5244012144114040314
64450140043203400
7322200351022143
oct40707064140230
98001650154370
102260106002584
117a1561a10391
12306034b16560
13135186276441
147b56553905a
153dbcd142c09
hex20e38d0c098

2260106002584 has 48 divisors (see below), whose sum is σ = 6126347911320. Its totient is φ = 752725284480.

The previous prime is 2260106002447. The next prime is 2260106002591. The reversal of 2260106002584 is 4852006010622.

It is a happy number.

2260106002584 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 10 + 60 + 0 + 2 + 584 = 666.

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

It is a congruent number.

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, 13318917 + ... + 13487540.

Almost surely, 22260106002584 is an apocalyptic number.

2260106002584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2260106002584 is an abundant number, since it is smaller than the sum of its proper divisors (3866241908736).

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

2260106002584 is a wasteful number, since it uses less digits than its factorization.

2260106002584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26807640 (or 26807633 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2260106002584 in words is "two trillion, two hundred sixty billion, one hundred six million, two thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1171 2342 3513 4684 7026 9368 10539 14052 21078 28104 42156 84312 26806457 53612914 80419371 107225828 160838742 214451656 241258113 321677484 482516226 643354968 965032452 1930064904 31390361147 62780722294 94171083441 125561444588 188342166882 251122889176 282513250323 376684333764 565026500646 753368667528 1130053001292 2260106002584