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83953490592 = 25319419411193
BaseRepresentation
bin100111000110000000…
…1001001101010100000
322000200212022012112110
41032030001021222200
52333414043144332
6102322342355320
76031305616146
oct1161401115240
9260625265473
1083953490592
1132671614084
121432ba2bb40
137bbc220b6a
1440c5c63596
1522b56084cc
hex138c049aa0

83953490592 has 192 divisors, whose sum is σ = 238086656640. Its totient is φ = 25815859200.

The previous prime is 83953490581. The next prime is 83953490597. The reversal of 83953490592 is 29509435938.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (83953490597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70371148 + ... + 70372340.

It is an arithmetic number, because the mean of its divisors is an integer number (1240034670).

Almost surely, 283953490592 is an apocalyptic number.

83953490592 is a gapful number since it is divisible by the number (82) 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 83953490592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119043328320).

83953490592 is an abundant number, since it is smaller than the sum of its proper divisors (154133166048).

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

83953490592 is a wasteful number, since it uses less digits than its factorization.

83953490592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The spelling of 83953490592 in words is "eighty-three billion, nine hundred fifty-three million, four hundred ninety thousand, five hundred ninety-two".