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83149358160 = 243511314721617
BaseRepresentation
bin100110101110000010…
…1101000010001010000
321221121211012001012210
41031130011220101100
52330242213430120
6102110455152120
76002342611551
oct1153405502120
9257554161183
1083149358160
1132299710520
1214146675640
137ac175205b
14404b140328
152269c16ce0
hex135c168450

83149358160 has 320 divisors, whose sum is σ = 296456454144. Its totient is φ = 19091251200.

The previous prime is 83149358111. The next prime is 83149358161. The reversal of 83149358160 is 6185394138.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83149358161) 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, 3835672 + ... + 3857288.

Almost surely, 283149358160 is an apocalyptic number.

83149358160 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 83149358160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148228227072).

83149358160 is an abundant number, since it is smaller than the sum of its proper divisors (213307095984).

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

83149358160 is a wasteful number, since it uses less digits than its factorization.

83149358160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21722 (or 21716 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 83149358160 in words is "eighty-three billion, one hundred forty-nine million, three hundred fifty-eight thousand, one hundred sixty".