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83763396552 = 233114110970997
BaseRepresentation
bin100111000000010101…
…1111111111111001000
322000012121121102112110
41032000223333333020
52333021412142202
6102251432142320
76023510060133
oct1160053777710
9260177542473
1083763396552
1132584287670
12142982379a0
137b8ba24694
1440a88dd21a
1522a3aa926c
hex1380afffc8

83763396552 has 128 divisors (see below), whose sum is σ = 236167747200. Its totient is φ = 24536217600.

The previous prime is 83763396547. The next prime is 83763396553. The reversal of 83763396552 is 25569336738.

It is a junction number, because it is equal to n+sod(n) for n = 83763396492 and 83763396501.

It is not an unprimeable number, because it can be changed into a prime (83763396553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1144318 + ... + 1215314.

It is an arithmetic number, because the mean of its divisors is an integer number (1845060525).

Almost surely, 283763396552 is an apocalyptic number.

83763396552 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83763396552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118083873600).

83763396552 is an abundant number, since it is smaller than the sum of its proper divisors (152404350648).

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

83763396552 is a wasteful number, since it uses less digits than its factorization.

83763396552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71167 (or 71163 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 57.

The spelling of 83763396552 in words is "eighty-three billion, seven hundred sixty-three million, three hundred ninety-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 109 123 132 164 218 246 264 327 328 436 451 492 654 872 902 984 1199 1308 1353 1804 2398 2616 2706 3597 3608 4469 4796 5412 7194 8938 9592 10824 13407 14388 17876 26814 28776 35752 49159 53628 70997 98318 107256 141994 147477 196636 212991 283988 294954 393272 425982 567976 589908 780967 851964 1179816 1561934 1703928 2342901 2910877 3123868 4685802 5821754 6247736 7738673 8732631 9371604 11643508 15477346 17465262 18743208 23216019 23287016 30954692 32019647 34930524 46432038 61909384 64039294 69861048 85125403 92864076 96058941 128078588 170250806 185728152 192117882 255376209 256157176 317285593 340501612 384235764 510752418 634571186 681003224 768471528 951856779 1021504836 1269142372 1903713558 2043009672 2538284744 3490141523 3807427116 6980283046 7614854232 10470424569 13960566092 20940849138 27921132184 41881698276 83763396552