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83250383634 = 23411193242059
BaseRepresentation
bin100110110001000011…
…1000000101100010010
321221212212021200010000
41031202013000230102
52330444044234014
6102124504350430
76005010404505
oct1154207005422
9257785250100
1083250383634
1132340742450
1214174475416
137b09664542
14405a71b13c
152273a20509
hex13621c0b12

83250383634 has 80 divisors (see below), whose sum is σ = 204556191840. Its totient is φ = 25096573440.

The previous prime is 83250383627. The next prime is 83250383687. The reversal of 83250383634 is 43638305238.

83250383634 is a `hidden beast` number, since 8 + 3 + 2 + 5 + 0 + 3 + 8 + 3 + 634 = 666.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 83250383634.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 222897 + ... + 464955.

It is an arithmetic number, because the mean of its divisors is an integer number (2556952398).

Almost surely, 283250383634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83250383634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102278095920).

83250383634 is an abundant number, since it is smaller than the sum of its proper divisors (121305808206).

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

83250383634 is a wasteful number, since it uses less digits than its factorization.

83250383634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242277 (or 242268 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 83250383634 in words is "eighty-three billion, two hundred fifty million, three hundred eighty-three thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 193 198 297 386 579 594 891 1158 1737 1782 2123 3474 4246 5211 6369 10422 12738 15633 19107 31266 38214 57321 114642 171963 242059 343926 484118 726177 1452354 2178531 2662649 4357062 5325298 6535593 7987947 13071186 15975894 19606779 23963841 39213558 46717387 47927682 71891523 93434774 140152161 143783046 215674569 280304322 420456483 431349138 513891257 840912966 1027782514 1261369449 1541673771 2522738898 3083347542 3784108347 4625021313 7568216694 9250042626 13875063939 27750127878 41625191817 83250383634