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83949022080 = 2734571121031
BaseRepresentation
bin100111000101111000…
…0000110101110000000
322000200112220011220000
41032023300012232000
52333411422201310
6102322102520000
76031222625340
oct1161360065600
9260615804800
1083949022080
113266a0418a0
121432a436000
137bbb317c81
1440c541cd20
1522b50244c0
hex138bc06b80

83949022080 has 640 divisors, whose sum is σ = 373790799360. Its totient is φ = 17443123200.

The previous prime is 83949022067. The next prime is 83949022147. The reversal of 83949022080 is 8022094938.

83949022080 is a `hidden beast` number, since 83 + 9 + 490 + 2 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3981165 + ... + 4002195.

It is an arithmetic number, because the mean of its divisors is an integer number (584048124).

Almost surely, 283949022080 is an apocalyptic number.

83949022080 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 83949022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186895399680).

83949022080 is an abundant number, since it is smaller than the sum of its proper divisors (289841777280).

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

83949022080 is a wasteful number, since it uses less digits than its factorization.

83949022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21080 (or 21059 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 83949022080 in words is "eighty-three billion, nine hundred forty-nine million, twenty-two thousand, eighty".