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395420395392 = 273211223294253
BaseRepresentation
bin1011100000100001110…
…01000110011110000000
31101210122112020100111100
411300100321012132000
522434310110123032
6501353103214400
740365612622041
oct5602071063600
91353575210440
10395420395392
11142773560700
12647755a7400
132b398912429
14151d1c948c8
15a44483397c
hex5c10e46780

395420395392 has 576 divisors, whose sum is σ = 1350408477600. Its totient is φ = 110636359680.

The previous prime is 395420395387. The next prime is 395420395397. The reversal of 395420395392 is 293593024593.

395420395392 is a `hidden beast` number, since 3 + 9 + 54 + 20 + 39 + 539 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (395420395387) and next prime (395420395397).

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

It is a super-2 number, since 2×3954203953922 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395420395397) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92972338 + ... + 92976590.

Almost surely, 2395420395392 is an apocalyptic number.

395420395392 is a gapful number since it is divisible by the number (32) 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 395420395392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675204238800).

395420395392 is an abundant number, since it is smaller than the sum of its proper divisors (954988082208).

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

395420395392 is a wasteful number, since it uses less digits than its factorization.

395420395392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 395420395392 in words is "three hundred ninety-five billion, four hundred twenty million, three hundred ninety-five thousand, three hundred ninety-two".