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396000039960 = 2332574127114143
BaseRepresentation
bin1011100001100110111…
…00010001010000011000
31101212010220221100100200
411300303130101100120
522442002002234320
6501530411102200
740416151541640
oct5606334212030
91355126840320
10396000039960
11142a407761a8
12648b7741960
132b45ba31b95
1415248c5d520
15a47a680290
hex5c33711418

396000039960 has 384 divisors, whose sum is σ = 1512398684160. Its totient is φ = 87974553600.

The previous prime is 396000039889. The next prime is 396000039991. The reversal of 396000039960 is 69930000693.

396000039960 is a `hidden beast` number, since 3 + 9 + 600 + 0 + 0 + 39 + 9 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

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, 27992649 + ... + 28006791.

It is an arithmetic number, because the mean of its divisors is an integer number (3938538240).

Almost surely, 2396000039960 is an apocalyptic number.

396000039960 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 396000039960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756199342080).

396000039960 is an abundant number, since it is smaller than the sum of its proper divisors (1116398644200).

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

396000039960 is a wasteful number, since it uses less digits than its factorization.

396000039960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14479 (or 14472 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The spelling of 396000039960 in words is "three hundred ninety-six billion, thirty-nine thousand, nine hundred sixty".