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18342937440 = 253251719113349
BaseRepresentation
bin10001000101010100…
…110000001101100000
31202100100110202202100
4101011110300031200
5300031242444230
612232052450400
71216361252502
oct210524601540
952310422670
1018342937440
117863123433
12367b019a00
1319642b2c49
14c601b9d72
15725549660
hex445530360

18342937440 has 576 divisors, whose sum is σ = 70584696000. Its totient is φ = 4310433792.

The previous prime is 18342937433. The next prime is 18342937451. The reversal of 18342937440 is 4473924381.

18342937440 is a `hidden beast` number, since 1 + 83 + 42 + 93 + 7 + 440 = 666.

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

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, 52558386 + ... + 52558734.

It is an arithmetic number, because the mean of its divisors is an integer number (122542875).

Almost surely, 218342937440 is an apocalyptic number.

18342937440 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 18342937440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35292348000).

18342937440 is an abundant number, since it is smaller than the sum of its proper divisors (52241758560).

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

18342937440 is a wasteful number, since it uses less digits than its factorization.

18342937440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 18342937440 in words is "eighteen billion, three hundred forty-two million, nine hundred thirty-seven thousand, four hundred forty".