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18890290298880 = 2163657111379
BaseRepresentation
bin1000100101110001111010…
…00010110000000000000000
32110212220010210212211000000
410102320331002300000000
54433444303304031010
6104102025104000000
73656531001135540
oct422707502600000
973786123784000
1018890290298880
11602336644a970
122151094000000
13a70467a005b0
1449441b3db320
1522b5a6c6b7c0
hex112e3d0b0000

18890290298880 has 3808 divisors, whose sum is σ = 92420280207360. Its totient is φ = 3577447710720.

The previous prime is 18890290298863. The next prime is 18890290298897. The reversal of 18890290298880 is 8889209209881.

18890290298880 is a `hidden beast` number, since 1 + 88 + 90 + 290 + 29 + 88 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (18890290298863) and next prime (18890290298897).

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 = 18890290298799 and 18890290298808.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 239117598681 + ... + 239117598759.

Almost surely, 218890290298880 is an apocalyptic number.

18890290298880 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 18890290298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46210140103680).

18890290298880 is an abundant number, since it is smaller than the sum of its proper divisors (73529989908480).

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

18890290298880 is an frugal number, since it uses more digits than its factorization.

18890290298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 72.

The spelling of 18890290298880 in words is "eighteen trillion, eight hundred ninety billion, two hundred ninety million, two hundred ninety-eight thousand, eight hundred eighty".