Search a number
-
+
492370222080 = 2103511172329257
BaseRepresentation
bin1110010101000111000…
…11010101110000000000
31202001220010102211120010
413022203203111300000
531031333234101310
61014105230344520
750400251556012
oct7124343256000
91661803384503
10492370222080
1117a8a4177410
127b51195b140
1337579521399
1419b8bbac1b2
15cc1adb8320
hex72a38d5c00

492370222080 has 1408 divisors, whose sum is σ = 1971219732480. Its totient is φ = 103347650560.

The previous prime is 492370222039. The next prime is 492370222081. The reversal of 492370222080 is 80222073294.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×4923702220802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492370222081) 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, 1915837312 + ... + 1915837568.

Almost surely, 2492370222080 is an apocalyptic number.

492370222080 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 492370222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985609866240).

492370222080 is an abundant number, since it is smaller than the sum of its proper divisors (1478849510400).

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

492370222080 is a wasteful number, since it uses less digits than its factorization.

492370222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 492370222080 in words is "four hundred ninety-two billion, three hundred seventy million, two hundred twenty-two thousand, eighty".