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8374009644 = 223272111389373
BaseRepresentation
bin1111100110010000…
…10011111100101100
3210121121011202200100
413303020103330230
5114122221302034
63502540031100
7414341623200
oct76310237454
923547152610
108374009644
113607a01430
121758532490
13a35b847c0
14596224b00
15340278099
hex1f3213f2c

8374009644 has 432 divisors, whose sum is σ = 29331862560. Its totient is φ = 1979873280.

The previous prime is 8374009621. The next prime is 8374009691. The reversal of 8374009644 is 4469004738.

It is a self number, because there is not a number n which added to its sum of digits gives 8374009644.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22450242 + ... + 22450614.

It is an arithmetic number, because the mean of its divisors is an integer number (67897830).

Almost surely, 28374009644 is an apocalyptic number.

8374009644 is a gapful number since it is divisible by the number (84) 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 8374009644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14665931280).

8374009644 is an abundant number, since it is smaller than the sum of its proper divisors (20957852916).

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

8374009644 is a wasteful number, since it uses less digits than its factorization.

8374009644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 8374009644 is about 91509.6150357983. The cubic root of 8374009644 is about 2030.6939997335.

The spelling of 8374009644 in words is "eight billion, three hundred seventy-four million, nine thousand, six hundred forty-four".