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4012357680 = 24375171971
BaseRepresentation
bin1110111100100111…
…1011100000110000
3101100121221220000000
43233021323200300
531204130421210
61502050430000
7201300322542
oct35711734060
911317856000
104012357680
111779964791
1293b892300
134bc35a456
142a0c4d692
151873b6ac0
hexef27b830

4012357680 has 640 divisors, whose sum is σ = 15813273600. Its totient is φ = 940584960.

The previous prime is 4012357673. The next prime is 4012357753. The reversal of 4012357680 is 867532104.

4012357680 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 3 + 576 + 80 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56512045 + ... + 56512115.

It is an arithmetic number, because the mean of its divisors is an integer number (24708240).

Almost surely, 24012357680 is an apocalyptic number.

4012357680 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 4012357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906636800).

4012357680 is an abundant number, since it is smaller than the sum of its proper divisors (11800915920).

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

4012357680 is a wasteful number, since it uses less digits than its factorization.

4012357680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4012357680 is about 63343.1739021657. The cubic root of 4012357680 is about 1589.0340875960.

Adding to 4012357680 its reverse (867532104), we get a palindrome (4879889784).

The spelling of 4012357680 in words is "four billion, twelve million, three hundred fifty-seven thousand, six hundred eighty".