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259940982000 = 24353721752009
BaseRepresentation
bin1111001000010110110…
…0001001110011110000
3220211221201211001202210
43302011230021303300
513224324342411000
6315225405212120
724531402614400
oct3620554116360
9824851731683
10259940982000
11a02709a9157
1242465861040
131b68778436b
14c81cbb0800
156b6591a350
hex3c85b09cf0

259940982000 has 480 divisors, whose sum is σ = 1032239557440. Its totient is φ = 55919001600.

The previous prime is 259940981987. The next prime is 259940982011. The reversal of 259940982000 is 289049952.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4971996 + ... + 5024004.

It is an arithmetic number, because the mean of its divisors is an integer number (2150499078).

Almost surely, 2259940982000 is an apocalyptic number.

259940982000 is a gapful number since it is divisible by the number (20) 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 259940982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516119778720).

259940982000 is an abundant number, since it is smaller than the sum of its proper divisors (772298575440).

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

259940982000 is a wasteful number, since it uses less digits than its factorization.

259940982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52066 (or 52043 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 259940982000 in words is "two hundred fifty-nine billion, nine hundred forty million, nine hundred eighty-two thousand".