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396814899096 = 23327112173112347
BaseRepresentation
bin1011100011001000000…
…00101101011110011000
31101221020201020110221200
411301210000231132120
523000134103232341
6502143320234200
740445304663360
oct5614400553630
91357221213850
10396814899096
11143319735a00
1264aa460b960
132b55b7b8255
14152c51759a0
15a4c6e8edb6
hex5c6402d798

396814899096 has 576 divisors, whose sum is σ = 1475690711040. Its totient is φ = 93869107200.

The previous prime is 396814899073. The next prime is 396814899101. The reversal of 396814899096 is 690998418693.

396814899096 is a `hidden beast` number, since 396 + 8 + 148 + 9 + 9 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32132395 + ... + 32144741.

It is an arithmetic number, because the mean of its divisors is an integer number (2561963040).

Almost surely, 2396814899096 is an apocalyptic number.

396814899096 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 396814899096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737845355520).

396814899096 is an abundant number, since it is smaller than the sum of its proper divisors (1078875811944).

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

396814899096 is a wasteful number, since it uses less digits than its factorization.

396814899096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12436 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 396814899096 in words is "three hundred ninety-six billion, eight hundred fourteen million, eight hundred ninety-nine thousand, ninety-six".