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397901932416 = 273543297503
BaseRepresentation
bin1011100101001001100…
…11011010011110000000
31102001001110200111100000
411302210303122132000
523004400343314131
6502443231200000
740514244422622
oct5624463323600
91361043614300
10397901932416
111438272a414a
1265148676000
132b6a2a78c31
141538969ac12
15a53c613ce6
hex5ca4cda780

397901932416 has 192 divisors, whose sum is σ = 1215030136320. Its totient is φ = 129549030912.

The previous prime is 397901932387. The next prime is 397901932427. The reversal of 397901932416 is 614239109793.

It is a happy number.

397901932416 is a `hidden beast` number, since 39 + 7 + 9 + 0 + 193 + 2 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 1188721 + ... + 1486223.

It is an arithmetic number, because the mean of its divisors is an integer number (6328281960).

Almost surely, 2397901932416 is an apocalyptic number.

397901932416 is a gapful number since it is divisible by the number (36) 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 397901932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607515068160).

397901932416 is an abundant number, since it is smaller than the sum of its proper divisors (817128203904).

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

397901932416 is an equidigital number, since it uses as much as digits as its factorization.

397901932416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297575 (or 297551 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 397901932416 in words is "three hundred ninety-seven billion, nine hundred one million, nine hundred thirty-two thousand, four hundred sixteen".