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7640139780 = 22335731319167
BaseRepresentation
bin1110001110110001…
…10100100000000100
3201201110021022111000
413013120310200010
5111121333433110
63302042413300
7360221055000
oct70730644004
921643238430
107640139780
113270729109
121592801230
13949b16b90
14526991700
152eab151c0
hex1c7634804

7640139780 has 768 divisors, whose sum is σ = 31610880000. Its totient is φ = 1517999616.

The previous prime is 7640139769. The next prime is 7640139803. The reversal of 7640139780 is 879310467.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45749257 + ... + 45749423.

It is an arithmetic number, because the mean of its divisors is an integer number (41160000).

Almost surely, 27640139780 is an apocalyptic number.

7640139780 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 7640139780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805440000).

7640139780 is an abundant number, since it is smaller than the sum of its proper divisors (23970740220).

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

7640139780 is a wasteful number, since it uses less digits than its factorization.

7640139780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7640139780 is about 87407.8931218457. The cubic root of 7640139780 is about 1969.5504123191.

The spelling of 7640139780 in words is "seven billion, six hundred forty million, one hundred thirty-nine thousand, seven hundred eighty".