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492345352674 = 233759149229647
BaseRepresentation
bin1110010101000100001…
…00011110000111100010
31202001211101122100011000
413022202010132013202
531031310402241144
61014102541332430
750366530306320
oct7124204360742
91661741570130
10492345352674
1117a89113068a
127b505567116
1337574324766
1419b88776d10
15cc18b04769
hex72a211e1e2

492345352674 has 256 divisors, whose sum is σ = 1287705600000. Its totient is φ = 136546580736.

The previous prime is 492345352621. The next prime is 492345352687. The reversal of 492345352674 is 476253543294.

492345352674 is a `hidden beast` number, since 4 + 9 + 2 + 3 + 45 + 3 + 526 + 74 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 492345352674.

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 127 ways as a sum of consecutive naturals, for example, 760966219 + ... + 760966865.

It is an arithmetic number, because the mean of its divisors is an integer number (5030100000).

Almost surely, 2492345352674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492345352674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643852800000).

492345352674 is an abundant number, since it is smaller than the sum of its proper divisors (795360247326).

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

492345352674 is a wasteful number, since it uses less digits than its factorization.

492345352674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 492345352674 in words is "four hundred ninety-two billion, three hundred forty-five million, three hundred fifty-two thousand, six hundred seventy-four".