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397479051141120 = 2133651317293167
BaseRepresentation
bin101101001100000010100110…
…1101001100010000000000000
31221010100121220111020021000000
41122120011031221202000000
5404044244044043003440
63525211204424000000
7146502625266116364
oct13230051551420000
91833317814207000
10397479051141120
11105715a12125703
12386b612a000000
13140a3162a1b740
1470221356552a4
1530e4520323730
hex169814da62000

397479051141120 has 6272 divisors, whose sum is σ = 1767443461539840. Its totient is φ = 84757991915520.

The previous prime is 397479051141097. The next prime is 397479051141157. The reversal of 397479051141120 is 21141150974793.

397479051141120 is a `hidden beast` number, since 3 + 9 + 7 + 4 + 7 + 9 + 0 + 511 + 4 + 112 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 5932523151327 + ... + 5932523151393.

Almost surely, 2397479051141120 is an apocalyptic number.

397479051141120 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 397479051141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883721730769920).

397479051141120 is an abundant number, since it is smaller than the sum of its proper divisors (1369964410398720).

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

397479051141120 is a wasteful number, since it uses less digits than its factorization.

397479051141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 397479051141120 in words is "three hundred ninety-seven trillion, four hundred seventy-nine billion, fifty-one million, one hundred forty-one thousand, one hundred twenty".