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102295459488 = 25319367315269
BaseRepresentation
bin101111101000101001…
…0001101011010100000
3100210001010221202200210
41133101102031122200
53134000114200423
6114554402414120
710250656026135
oct1372122153240
9323033852623
10102295459488
113a424135862
12179aa661340
139853254cb1
144d45c6a58c
1529daa10b93
hex17d148d6a0

102295459488 has 96 divisors (see below), whose sum is σ = 282753979200. Its totient is φ = 32292919296.

The previous prime is 102295459447. The next prime is 102295459517. The reversal of 102295459488 is 884954592201.

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

It is a super-2 number, since 2×1022954594882 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 15 ways as a sum of consecutive naturals, for example, 6691918 + ... + 6707186.

It is an arithmetic number, because the mean of its divisors is an integer number (2945353950).

Almost surely, 2102295459488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102295459488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141376989600).

102295459488 is an abundant number, since it is smaller than the sum of its proper divisors (180458519712).

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

102295459488 is a wasteful number, since it uses less digits than its factorization.

102295459488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18974 (or 18966 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 102295459488 in words is "one hundred two billion, two hundred ninety-five million, four hundred fifty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 3673 7346 11019 14692 15269 22038 29384 30538 44076 45807 58768 61076 69787 88152 91614 117536 122152 139574 176304 183228 209361 244304 279148 290111 352608 366456 418722 488608 558296 580222 732912 837444 870333 1116592 1160444 1465824 1674888 1740666 2233184 2320888 3349776 3481332 4641776 6699552 6962664 9283552 13925328 27850656 56083037 112166074 168249111 224332148 336498222 448664296 672996444 897328592 1065577703 1345992888 1794657184 2131155406 2691985776 3196733109 4262310812 5383971552 6393466218 8524621624 12786932436 17049243248 25573864872 34098486496 51147729744 102295459488