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83609140736 = 2911233147443
BaseRepresentation
bin100110111011101111…
…1100011111000000000
321222210212100102100002
41031313133203320000
52332212420000421
6102224242015132
76016624653542
oct1156737437000
9258725312302
1083609140736
11325051a8a20
12142546474a8
137b65a95654
144092227692
152295288b0b
hex13777e3e00

83609140736 has 320 divisors, whose sum is σ = 200928854016. Its totient is φ = 34352947200.

The previous prime is 83609140717. The next prime is 83609140781. The reversal of 83609140736 is 63704190638.

It is a happy number.

It is a super-2 number, since 2×836091407362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188733731 + ... + 188734173.

Almost surely, 283609140736 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 83609140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100464427008).

83609140736 is an abundant number, since it is smaller than the sum of its proper divisors (117319713280).

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

83609140736 is a wasteful number, since it uses less digits than its factorization.

83609140736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 83609140736 in words is "eighty-three billion, six hundred nine million, one hundred forty thousand, seven hundred thirty-six".