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4076912640 = 2143553313
BaseRepresentation
bin1111001100000000…
…1100000000000000
3101112010102121202110
43303000030000000
531322142201030
61512314215320
7203013120453
oct36300140000
911463377673
104076912640
111802346899
12959424540
134cc840758
142a965549a
1518cdb91b0
hexf300c000

4076912640 has 240 divisors, whose sum is σ = 13334334048. Its totient is φ = 1063256064.

The previous prime is 4076912569. The next prime is 4076912657. The reversal of 4076912640 is 462196704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13025124 + ... + 13025436.

Almost surely, 24076912640 is an apocalyptic number.

4076912640 is a gapful number since it is divisible by the number (40) 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 4076912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667167024).

4076912640 is an abundant number, since it is smaller than the sum of its proper divisors (9257421408).

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

4076912640 is an equidigital number, since it uses as much as digits as its factorization.

4076912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 4076912640 is about 63850.7058692384. The cubic root of 4076912640 is about 1597.5107960899.

The spelling of 4076912640 in words is "four billion, seventy-six million, nine hundred twelve thousand, six hundred forty".