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83072208384 = 2932114171563
BaseRepresentation
bin100110101011101111…
…1010100111000000000
321221102110000102121200
41031113133110320000
52330112441132014
6102055101421200
76000415056234
oct1152737247000
9257373012550
1083072208384
113225a106780
121412486a800
137aab77c0b9
144040bba5c4
152263077a09
hex13577d4e00

83072208384 has 480 divisors, whose sum is σ = 272183079168. Its totient is φ = 24170496000.

The previous prime is 83072208383. The next prime is 83072208409. The reversal of 83072208384 is 48380227038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83072208383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147552487 + ... + 147553049.

Almost surely, 283072208384 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 83072208384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136091539584).

83072208384 is an abundant number, since it is smaller than the sum of its proper divisors (189110870784).

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

83072208384 is a wasteful number, since it uses less digits than its factorization.

83072208384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 83072208384 in words is "eighty-three billion, seventy-two million, two hundred eight thousand, three hundred eighty-four".