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18341247960 = 23345719311373
BaseRepresentation
bin10001000101001110…
…010011101111011000
31202100020021221020000
4101011032103233120
5300030324413320
612231552333000
71216341015060
oct210516235730
952306257200
1018341247960
11786217a072
12367a544160
131963b40c59
14c5dc9a3a0
15725313c90
hex445393bd8

18341247960 has 640 divisors, whose sum is σ = 76609843200. Its totient is φ = 3840721920.

The previous prime is 18341247959. The next prime is 18341247961. The reversal of 18341247960 is 6974214381.

18341247960 is a `hidden beast` number, since 1 + 8 + 341 + 247 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (18341247959) and next prime (18341247961).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18341247961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13357834 + ... + 13359206.

It is an arithmetic number, because the mean of its divisors is an integer number (119702880).

Almost surely, 218341247960 is an apocalyptic number.

18341247960 is a gapful number since it is divisible by the number (10) 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 18341247960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304921600).

18341247960 is an abundant number, since it is smaller than the sum of its proper divisors (58268595240).

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

18341247960 is a wasteful number, since it uses less digits than its factorization.

18341247960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 18341247960 in words is "eighteen billion, three hundred forty-one million, two hundred forty-seven thousand, nine hundred sixty".