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102224568768 = 263776059947
BaseRepresentation
bin101111100110100001…
…1110010000111000000
3100202212012120010220120
41133031003302013000
53133323442200033
6114543351140240
710246135332510
oct1371503620700
9322765503816
10102224568768
113a398116593
121798a974680
139841663c1a
144d3a695840
1529d46ab1b3
hex17cd0f21c0

102224568768 has 56 divisors (see below), whose sum is σ = 309107628672. Its totient is φ = 29207019264.

The previous prime is 102224568679. The next prime is 102224568791. The reversal of 102224568768 is 867865422201.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1022245687682 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102224568768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38028630 + ... + 38031317.

Almost surely, 2102224568768 is an apocalyptic number.

It is an amenable number.

102224568768 is an abundant number, since it is smaller than the sum of its proper divisors (206883059904).

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

102224568768 is an equidigital number, since it uses as much as digits as its factorization.

102224568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76059969 (or 76059959 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 102224568768 in words is "one hundred two billion, two hundred twenty-four million, five hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 76059947 152119894 228179841 304239788 456359682 532419629 608479576 912719364 1064839258 1216959152 1597258887 1825438728 2129678516 2433918304 3194517774 3650877456 4259357032 4867836608 6389035548 7301754912 8518714064 12778071096 14603509824 17037428128 25556142192 34074856256 51112284384 102224568768