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397164273408 = 2833753612539
BaseRepresentation
bin1011100011110001101…
…01011101111100000000
31101222011001122112102000
411301320311131330000
523001343023222113
6502242120424000
740460046423360
oct5617065357400
91358131575360
10397164273408
11143488973001
1264b81618000
132b5b5cb2706
141531971c9a0
15a4e79a3373
hex5c78d5df00

397164273408 has 576 divisors, whose sum is σ = 1390560998400. Its totient is φ = 109466173440.

The previous prime is 397164273367. The next prime is 397164273419. The reversal of 397164273408 is 804372461793.

397164273408 is a `hidden beast` number, since 3 + 9 + 7 + 164 + 2 + 73 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156424203 + ... + 156426741.

It is an arithmetic number, because the mean of its divisors is an integer number (2414168400).

Almost surely, 2397164273408 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 397164273408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695280499200).

397164273408 is an abundant number, since it is smaller than the sum of its proper divisors (993396724992).

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

397164273408 is a wasteful number, since it uses less digits than its factorization.

397164273408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 397164273408 in words is "three hundred ninety-seven billion, one hundred sixty-four million, two hundred seventy-three thousand, four hundred eight".