Search a number
-
+
83948736192 = 2631214336007
BaseRepresentation
bin100111000101110111…
…1000000111011000000
322000200112100122201120
41032023233000323000
52333411334024232
6102322052432240
76031220325006
oct1161357007300
9260615318646
1083948736192
1132669967022
121432a318680
137bbb247ac9
1440c5386a76
1522b4eb992c
hex138bbc0ec0

83948736192 has 56 divisors (see below), whose sum is σ = 222138825216. Its totient is φ = 27979830528.

The previous prime is 83948736169. The next prime is 83948736197. The reversal of 83948736192 is 29163784938.

It is not an unprimeable number, because it can be changed into a prime (83948736197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2313453 + ... + 2349459.

It is an arithmetic number, because the mean of its divisors is an integer number (3966764736).

Almost surely, 283948736192 is an apocalyptic number.

It is an amenable number.

83948736192 is an abundant number, since it is smaller than the sum of its proper divisors (138190089024).

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

83948736192 is a wasteful number, since it uses less digits than its factorization.

83948736192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48165 (or 48155 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 60.

The spelling of 83948736192 in words is "eighty-three billion, nine hundred forty-eight million, seven hundred thirty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 12143 24286 36007 36429 48572 72014 72858 97144 108021 144028 145716 194288 216042 288056 291432 388576 432084 576112 582864 777152 864168 1152224 1165728 1728336 2304448 2331456 3456672 6913344 437233001 874466002 1311699003 1748932004 2623398006 3497864008 5246796012 6995728016 10493592024 13991456032 20987184048 27982912064 41974368096 83948736192