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490447626240 = 213351113219113
BaseRepresentation
bin1110010001100001111…
…01001110000000000000
31201212221010201211212210
413020300331032000000
531013414043014430
61013150350422120
750301515016225
oct7106075160000
91655833654783
10490447626240
11179aa7998730
127b075b01940
1337331108a00
1419a4870194c
15cb571e52b0
hex7230f4e000

490447626240 has 1344 divisors, whose sum is σ = 1968665160960. Its totient is φ = 103054049280.

The previous prime is 490447626233. The next prime is 490447626247. The reversal of 490447626240 is 42626744094.

It is an interprime number because it is at equal distance from previous prime (490447626233) and next prime (490447626247).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 490447626240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490447626247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4340244424 + ... + 4340244536.

Almost surely, 2490447626240 is an apocalyptic number.

490447626240 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 490447626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984332580480).

490447626240 is an abundant number, since it is smaller than the sum of its proper divisors (1478217534720).

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

490447626240 is a wasteful number, since it uses less digits than its factorization.

490447626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 490447626240 in words is "four hundred ninety billion, four hundred forty-seven million, six hundred twenty-six thousand, two hundred forty".