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83669612048 = 241119173144629
BaseRepresentation
bin100110111101100011…
…0001111011000010000
321222222002010200101022
41031323012033120100
52332323410041143
6102234242055012
76021260653001
oct1157306173020
9258862120338
1083669612048
1132536350a10
121427094a468
137b75478ca9
14409a2891a8
15229a731268
hex137b18f610

83669612048 has 80 divisors (see below), whose sum is σ = 187232212800. Its totient is φ = 35821463040.

The previous prime is 83669611979. The next prime is 83669612057. The reversal of 83669612048 is 84021696638.

It is a Cunningham number, because it is equal to 2892572-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506198 + ... + 650826.

It is an arithmetic number, because the mean of its divisors is an integer number (2340402660).

Almost surely, 283669612048 is an apocalyptic number.

83669612048 is a gapful number since it is divisible by the number (88) 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 83669612048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93616106400).

83669612048 is an abundant number, since it is smaller than the sum of its proper divisors (103562600752).

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

83669612048 is a wasteful number, since it uses less digits than its factorization.

83669612048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144840 (or 144834 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 53.

The spelling of 83669612048 in words is "eighty-three billion, six hundred sixty-nine million, six hundred twelve thousand, forty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 173 176 209 304 346 418 692 836 1384 1672 1903 2768 3287 3344 3806 6574 7612 13148 15224 26296 30448 36157 52592 72314 144628 144629 289256 289258 578512 578516 1157032 1590919 2314064 2747951 3181838 5495902 6363676 10991804 12727352 21983608 25020817 25454704 30227461 43967216 50041634 60454922 100083268 120909844 200166536 241819688 275228987 400333072 475395523 483639376 550457974 950791046 1100915948 1901582092 2201831896 3803164184 4403663792 5229350753 7606328368 10458701506 20917403012 41834806024 83669612048