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7997783640 = 23357117173167
BaseRepresentation
bin1110111001011010…
…00111111001011000
3202122101020111121220
413130231013321120
5112334413034030
63401340132040
7402123016320
oct73455077130
922571214556
107997783640
1134345a4250
121672537020
139a5c48372
1455c28c280
1531c20da10
hex1dcb47e58

7997783640 has 512 divisors, whose sum is σ = 30934794240. Its totient is φ = 1606348800.

The previous prime is 7997783621. The next prime is 7997783641. The reversal of 7997783640 is 463877997.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7997783641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47890837 + ... + 47891003.

It is an arithmetic number, because the mean of its divisors is an integer number (60419520).

Almost surely, 27997783640 is an apocalyptic number.

7997783640 is a gapful number since it is divisible by the number (70) 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 7997783640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467397120).

7997783640 is an abundant number, since it is smaller than the sum of its proper divisors (22937010600).

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

7997783640 is a wasteful number, since it uses less digits than its factorization.

7997783640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The square root of 7997783640 is about 89430.3284126811. The cubic root of 7997783640 is about 1999.8152862743.

The spelling of 7997783640 in words is "seven billion, nine hundred ninety-seven million, seven hundred eighty-three thousand, six hundred forty".