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83088107232 = 25313331201139
BaseRepresentation
bin100110101100001101…
…1111110011011100000
321221110112221011201220
41031120123332123200
52330131023412412
6102100430255040
76001000154454
oct1153033763340
9257415834656
1083088107232
1132268085819
121412a057480
137ab1b578c0
144042d58664
15226466868c
hex13586fe6e0

83088107232 has 96 divisors (see below), whose sum is σ = 235594477440. Its totient is φ = 25488207360.

The previous prime is 83088107191. The next prime is 83088107237. The reversal of 83088107232 is 23270188038.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83088107237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312519 + ... + 513657.

It is an arithmetic number, because the mean of its divisors is an integer number (2454109140).

Almost surely, 283088107232 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 83088107232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117797238720).

83088107232 is an abundant number, since it is smaller than the sum of its proper divisors (152506370208).

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

83088107232 is a wasteful number, since it uses less digits than its factorization.

83088107232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201496 (or 201488 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 83088107232 in words is "eighty-three billion, eighty-eight million, one hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 331 416 624 662 993 1248 1324 1986 2648 3972 4303 5296 7944 8606 10592 12909 15888 17212 25818 31776 34424 51636 68848 103272 137696 201139 206544 402278 413088 603417 804556 1206834 1609112 2413668 2614807 3218224 4827336 5229614 6436448 7844421 9654672 10459228 15688842 19309344 20918456 31377684 41836912 62755368 66577009 83673824 125510736 133154018 199731027 251021472 266308036 399462054 532616072 798924108 865501117 1065232144 1597848216 1731002234 2130464288 2596503351 3195696432 3462004468 5193006702 6391392864 6924008936 10386013404 13848017872 20772026808 27696035744 41544053616 83088107232