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83054516502200 = 23521075279735187
BaseRepresentation
bin10010111000100110100010…
…111100111111111010111000
3101220001221020001112112222012
4102320212202330333322320
541341231122211032300
6452350415041545052
723331330226031165
oct2270464274777270
9356057201475865
1083054516502200
112451124a37a911
129394631645188
133746013065939
141671c07d8106c
1599068a2c0435
hex4b89a2f3feb8

83054516502200 has 96 divisors (see below), whose sum is σ = 194943626380800. Its totient is φ = 32905043283840.

The previous prime is 83054516502169. The next prime is 83054516502227. The reversal of 83054516502200 is 220561545038.

It is a super-2 number, since 2×830545165022002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112603007 + ... + 113338193.

It is an arithmetic number, because the mean of its divisors is an integer number (2030662774800).

Almost surely, 283054516502200 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 83054516502200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97471813190400).

83054516502200 is an abundant number, since it is smaller than the sum of its proper divisors (111889109878600).

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

83054516502200 is a wasteful number, since it uses less digits than its factorization.

83054516502200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740589 (or 740580 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 83054516502200 in words is "eighty-three trillion, fifty-four billion, five hundred sixteen million, five hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 2140 2675 4280 5279 5350 10558 10700 21116 21400 26395 42232 52790 105580 131975 211160 263950 527900 564853 735187 1055800 1129706 1470374 2259412 2824265 2940748 3675935 4518824 5648530 5881496 7351870 11297060 14121325 14703740 18379675 22594120 28242650 29407480 36759350 56485300 73518700 78665009 112970600 147037400 157330018 314660036 393325045 629320072 786650090 1573300180 1966625225 3146600360 3881052173 3933250450 7762104346 7866500900 15524208692 15733001800 19405260865 31048417384 38810521730 77621043460 97026304325 155242086920 194052608650 388105217300 415272582511 776210434600 830545165022 1661090330044 2076362912555 3322180660088 4152725825110 8305451650220 10381814562775 16610903300440 20763629125550 41527258251100 83054516502200