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397381260211776 = 2638307632
BaseRepresentation
bin101101001011010101000100…
…0110110101111011001000000
31221010000021111021100100000000
41122112222020312233121000
5404041143310103234101
63525054233013000000
7146462564034666201
oct13226521066573100
91833007437310000
10397381260211776
1110568849a755035
123869b198023000
1314096b79a981c9
14701b4d9b535a8
1530e1be9ee8486
hex1696a88daf640

397381260211776 has 189 divisors, whose sum is σ = 1182808512413931. Its totient is φ = 132456114235008.

The previous prime is 397381260211769. The next prime is 397381260211799. The reversal of 397381260211776 is 677112062183793.

The square root of 397381260211776 is 19934424.

It is a perfect power (a square), and thus also a powerful number.

397381260211776 is a `hidden beast` number, since 3 + 9 + 7 + 3 + 8 + 1 + 2 + 602 + 1 + 17 + 7 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12917491371 + ... + 12917522133.

Almost surely, 2397381260211776 is an apocalyptic number.

397381260211776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

397381260211776 is the 19934424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397381260211776

397381260211776 is an abundant number, since it is smaller than the sum of its proper divisors (785427252202155).

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

397381260211776 is an frugal number, since it uses more digits than its factorization.

397381260211776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61562 (or 30768 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 397381260211776 in words is "three hundred ninety-seven trillion, three hundred eighty-one billion, two hundred sixty million, two hundred eleven thousand, seven hundred seventy-six".