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83525352960 = 293572221953
BaseRepresentation
bin100110111001001111…
…1111011111000000000
321222121000200120010010
41031302133323320000
52332024442243320
6102212050104520
76014556533400
oct1156237737000
9258530616103
1083525352960
113247197aa25
121423057b140
137b5160a19a
144085056800
15228cc37ae0
hex13727fbe00

83525352960 has 240 divisors, whose sum is σ = 310616632656. Its totient is φ = 19091423232.

The previous prime is 83525352919. The next prime is 83525352997. The reversal of 83525352960 is 6925352538.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265344 + ... + 487296.

Almost surely, 283525352960 is an apocalyptic number.

83525352960 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 83525352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155308316328).

83525352960 is an abundant number, since it is smaller than the sum of its proper divisors (227091279696).

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

83525352960 is a wasteful number, since it uses less digits than its factorization.

83525352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221993 (or 221970 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 83525352960 in words is "eighty-three billion, five hundred twenty-five million, three hundred fifty-two thousand, nine hundred sixty".