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493276864080 = 2435711132817307
BaseRepresentation
bin1110010110110011001…
…01111001111001010000
31202011020022110000120110
413023121211321321100
531040212334122310
61014335215041320
750431601110110
oct7133145717120
91664208400513
10493276864080
11180219a25a20
127b725510240
1337692302040
1419c36377040
15cc707a7d20
hex72d9979e50

493276864080 has 640 divisors, whose sum is σ = 2060724105216. Its totient is φ = 94264934400.

The previous prime is 493276864061. The next prime is 493276864081. The reversal of 493276864080 is 80468672394.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 493276864080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493276864081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67503787 + ... + 67511093.

Almost surely, 2493276864080 is an apocalyptic number.

493276864080 is a gapful number since it is divisible by the number (40) 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 493276864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030362052608).

493276864080 is an abundant number, since it is smaller than the sum of its proper divisors (1567447241136).

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

493276864080 is a wasteful number, since it uses less digits than its factorization.

493276864080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7635 (or 7629 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 493276864080 in words is "four hundred ninety-three billion, two hundred seventy-six million, eight hundred sixty-four thousand, eighty".