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4019398656 = 21137213279
BaseRepresentation
bin1110111110010011…
…0010100000000000
3101101010012121101220
43233210302200000
531212431224111
61502501355040
7201414216300
oct35744624000
911333177356
104019398656
111782933779
12942108a80
134c0954200
142a1b63600
15187d07e06
hexef932800

4019398656 has 432 divisors, whose sum is σ = 13668782400. Its totient is φ = 1046642688.

The previous prime is 4019398627. The next prime is 4019398661. The reversal of 4019398656 is 6568939104.

It is a junction number, because it is equal to n+sod(n) for n = 4019398599 and 4019398608.

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 35 ways as a sum of consecutive naturals, for example, 50878425 + ... + 50878503.

It is an arithmetic number, because the mean of its divisors is an integer number (31640700).

Almost surely, 24019398656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4019398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834391200).

4019398656 is an abundant number, since it is smaller than the sum of its proper divisors (9649383744).

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

4019398656 is a wasteful number, since it uses less digits than its factorization.

4019398656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 4019398656 is about 63398.7275582089. The cubic root of 4019398656 is about 1589.9630354129.

The spelling of 4019398656 in words is "four billion, nineteen million, three hundred ninety-eight thousand, six hundred fifty-six".