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18430495960968 = 2332731357407291
BaseRepresentation
bin1000011000011001011110…
…01010100010111110001000
32102020221022221201100121100
410030030233022202332020
54403431123431222333
6103110504123341400
73611362604556000
oct414145712427610
972227287640540
1018430495960968
115966369540483
122097b53981860
13a38cb0422620
1447a07dbdd000
1521e645be7213
hex10c32f2a2f88

18430495960968 has 192 divisors, whose sum is σ = 62688762864000. Its totient is φ = 4860790058880.

The previous prime is 18430495960951. The next prime is 18430495960997. The reversal of 18430495960968 is 86906959403481.

18430495960968 is a `hidden beast` number, since 1 + 8 + 4 + 3 + 0 + 4 + 9 + 5 + 9 + 609 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18430495960896 and 18430495960905.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28382598 + ... + 29024693.

It is an arithmetic number, because the mean of its divisors is an integer number (326503973250).

Almost surely, 218430495960968 is an apocalyptic number.

18430495960968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18430495960968 is an abundant number, since it is smaller than the sum of its proper divisors (44258266903032).

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

18430495960968 is a wasteful number, since it uses less digits than its factorization.

18430495960968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57407337 (or 57407316 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 18430495960968 in words is "eighteen trillion, four hundred thirty billion, four hundred ninety-five million, nine hundred sixty thousand, nine hundred sixty-eight".