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493891092480 = 218352343127
BaseRepresentation
bin1110010111111100011…
…01000000000000000000
31202012211010020001112110
413023332031000000000
531042442104424410
61014520200055320
750453040006342
oct7137615000000
91665733201473
10493891092480
111805047118a5
127b877164540
133775c63ccb6
1419c93b85292
15cca9686720
hex72fe340000

493891092480 has 608 divisors, whose sum is σ = 1700803805184. Its totient is φ = 122079412224.

The previous prime is 493891092473. The next prime is 493891092491. The reversal of 493891092480 is 84290198394.

It is a super-2 number, since 2×4938910924802 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 493891092480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3888906177 + ... + 3888906303.

Almost surely, 2493891092480 is an apocalyptic number.

493891092480 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 493891092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850401902592).

493891092480 is an abundant number, since it is smaller than the sum of its proper divisors (1206912712704).

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

493891092480 is an equidigital number, since it uses as much as digits as its factorization.

493891092480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 493891092480 in words is "four hundred ninety-three billion, eight hundred ninety-one million, ninety-two thousand, four hundred eighty".