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83944500640 = 255711131274127
BaseRepresentation
bin100111000101101111…
…0110110110110100000
322000200020101110122021
41032023132312312200
52333404243010030
6102321421551224
76031136324320
oct1161336666640
9260606343567
1083944500640
1132667533870
1214328a15514
137bba3c3c70
1440c49a3280
1522b492e97a
hex138b7b6da0

83944500640 has 384 divisors, whose sum is σ = 268435980288. Its totient is φ = 23955886080.

The previous prime is 83944500623. The next prime is 83944500643. The reversal of 83944500640 is 4600544938.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83944500643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20338257 + ... + 20342383.

It is an arithmetic number, because the mean of its divisors is an integer number (699052032).

Almost surely, 283944500640 is an apocalyptic number.

83944500640 is a gapful number since it is divisible by the number (80) 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 83944500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134217990144).

83944500640 is an abundant number, since it is smaller than the sum of its proper divisors (184491479648).

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

83944500640 is a wasteful number, since it uses less digits than its factorization.

83944500640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 83944500640 in words is "eighty-three billion, nine hundred forty-four million, five hundred thousand, six hundred forty".