Search a number
-
+
83930065920 = 2103353761269
BaseRepresentation
bin100111000101010011…
…1110010110000000000
322000122020020002221000
41032022213302300000
52333342044102140
6102320144332000
76030602534511
oct1161247626000
9260566202830
1083930065920
113265a374848
1214324014000
137bb740b9cc
1440c2ac6a08
1522b352ca30
hex138a9f2c00

83930065920 has 704 divisors, whose sum is σ = 312513033600. Its totient is φ = 21339832320.

The previous prime is 83930065913. The next prime is 83930065943. The reversal of 83930065920 is 2956003938.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312007546 + ... + 312007814.

Almost surely, 283930065920 is an apocalyptic number.

83930065920 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 83930065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156256516800).

83930065920 is an abundant number, since it is smaller than the sum of its proper divisors (228582967680).

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

83930065920 is a wasteful number, since it uses less digits than its factorization.

83930065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 83930065920 in words is "eighty-three billion, nine hundred thirty million, sixty-five thousand, nine hundred twenty".