Search a number
-
+
396399960000 = 2633541161547
BaseRepresentation
bin1011100010010110100…
…01110101111111000000
31101220011210110101112000
411301023101311333000
522443311342210000
6502034214504000
740432106031402
oct5611321657700
91356153411460
10396399960000
11143126497030
12649a9665000
132b4c3845c65
1415286002b72
15a4a082a000
hex5c4b475fc0

396399960000 has 1120 divisors, whose sum is σ = 1617589205760. Its totient is φ = 94348800000.

The previous prime is 396399959981. The next prime is 396399960007. The reversal of 396399960000 is 69993693.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396399960007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 724679727 + ... + 724680273.

Almost surely, 2396399960000 is an apocalyptic number.

396399960000 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 396399960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808794602880).

396399960000 is an abundant number, since it is smaller than the sum of its proper divisors (1221189245760).

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

396399960000 is a wasteful number, since it uses less digits than its factorization.

396399960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 54.

The spelling of 396399960000 in words is "three hundred ninety-six billion, three hundred ninety-nine million, nine hundred sixty thousand".