Search a number
-
+
394425556560 = 2432571672511867
BaseRepresentation
bin1011011110101011001…
…10000101111001010000
31101201002012021022011200
411233111212011321100
522430240420302220
6501110244311200
740332142625220
oct5572546057120
91351065238150
10394425556560
11142302a42552
12645383a2500
132b26a7914b9
1415139acc080
15a3d7321890
hex5bd5985e50

394425556560 has 480 divisors, whose sum is σ = 1529794086912. Its totient is φ = 89209728000.

The previous prime is 394425556529. The next prime is 394425556601. The reversal of 394425556560 is 65655524493.

394425556560 is a `hidden beast` number, since 3 + 9 + 4 + 4 + 25 + 5 + 56 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 394425556497 and 394425556506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211260747 + ... + 211262613.

Almost surely, 2394425556560 is an apocalyptic number.

394425556560 is a gapful number since it is divisible by the number (30) 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 394425556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764897043456).

394425556560 is an abundant number, since it is smaller than the sum of its proper divisors (1135368530352).

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

394425556560 is a wasteful number, since it uses less digits than its factorization.

394425556560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 394425556560 in words is "three hundred ninety-four billion, four hundred twenty-five million, five hundred fifty-six thousand, five hundred sixty".