Search a number
-
+
397441499616 = 253271931433773
BaseRepresentation
bin1011100100010010101…
…11000000000111100000
31101222212101022002021100
411302021113000013200
523002430010441431
6502325422354400
740466654002140
oct5621127000740
91358771262240
10397441499616
11143610402177
126503a42ba00
132b62b5686a5
1415344484920
15a511eb44e6
hex5c895c01e0

397441499616 has 576 divisors, whose sum is σ = 1408589844480. Its totient is φ = 103733084160.

The previous prime is 397441499579. The next prime is 397441499617. The reversal of 397441499616 is 616994144793.

397441499616 is a `hidden beast` number, since 3 + 9 + 7 + 4 + 4 + 1 + 4 + 9 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397441499617) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 514154206 + ... + 514154978.

It is an arithmetic number, because the mean of its divisors is an integer number (2445468480).

Almost surely, 2397441499616 is an apocalyptic number.

397441499616 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 397441499616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704294922240).

397441499616 is an abundant number, since it is smaller than the sum of its proper divisors (1011148344864).

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

397441499616 is a wasteful number, since it uses less digits than its factorization.

397441499616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1268 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 397441499616 in words is "three hundred ninety-seven billion, four hundred forty-one million, four hundred ninety-nine thousand, six hundred sixteen".