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83393856952 = 23721013735647
BaseRepresentation
bin100110110101010101…
…0010100010110111000
321222020212020212111121
41031222222110112320
52331242311410302
6102151031435024
76011402042200
oct1155252242670
9258225225447
1083393856952
113240472703a
12141b4525a74
137b302b97b3
1440717c7400
152281410e37
hex136aa945b8

83393856952 has 96 divisors (see below), whose sum is σ = 184218217920. Its totient is φ = 35285241600.

The previous prime is 83393856937. The next prime is 83393857003. The reversal of 83393856952 is 25965839338.

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, 14764993 + ... + 14770639.

It is an arithmetic number, because the mean of its divisors is an integer number (1918939770).

Almost surely, 283393856952 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 83393856952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92109108960).

83393856952 is an abundant number, since it is smaller than the sum of its proper divisors (100824360968).

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

83393856952 is a wasteful number, since it uses less digits than its factorization.

83393856952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6141 (or 6130 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 61.

The spelling of 83393856952 in words is "eighty-three billion, three hundred ninety-three million, eight hundred fifty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 373 392 404 707 746 808 1414 1492 2611 2828 2984 4949 5222 5647 5656 9898 10444 11294 18277 19796 20888 22588 36554 37673 39529 39592 45176 73108 75346 79058 146216 150692 158116 263711 276703 301384 316232 527422 553406 570347 1054844 1106812 1140694 1845977 2106331 2109688 2213624 2281388 3691954 3992429 4212662 4562776 7383908 7984858 8425324 14744317 14767816 15969716 16850648 27947003 29488634 31939432 55894006 58977268 103210219 111788012 117954536 206420438 212739431 223576024 412840876 425478862 825681752 850957724 1489176017 1701915448 2978352034 5956704068 10424232119 11913408136 20848464238 41696928476 83393856952