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490931280000 = 273454779137
BaseRepresentation
bin1110010010011011100…
…10001101100010000000
31201221011211211000010000
413021031302031202000
531020411401430000
61013310345040000
750316510012420
oct7111562154200
91657154730100
10490931280000
1117a2259aa987
127b18ba86000
13373aa389775
1419a92a40480
15cb848d0000
hex724dc8d880

490931280000 has 1600 divisors, whose sum is σ = 2128313721600. Its totient is φ = 109983744000.

The previous prime is 490931279989. The next prime is 490931280029. The reversal of 490931280000 is 82139094.

490931280000 is a `hidden beast` number, since 490 + 93 + 1 + 2 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 3583439932 + ... + 3583440068.

It is an arithmetic number, because the mean of its divisors is an integer number (1330196076).

Almost surely, 2490931280000 is an apocalyptic number.

490931280000 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 490931280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064156860800).

490931280000 is an abundant number, since it is smaller than the sum of its proper divisors (1637382441600).

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

490931280000 is an equidigital number, since it uses as much as digits as its factorization.

490931280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 490931280000 in words is "four hundred ninety billion, nine hundred thirty-one million, two hundred eighty thousand".