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18161112003840 = 2833513127318289
BaseRepresentation
bin1000010000100011101101…
…01000010011010100000000
32101022012000010021110012000
410020101312220103110000
54340022424133110330
6102343033310304000
73553045166656461
oct410216650232400
971265003243160
1018161112003840
1158720a22a3353
1220538b37b8000
13a1977c4b0920
1446b006c66d68
1521762b29d560
hex108476a13500

18161112003840 has 576 divisors, whose sum is σ = 69950873395200. Its totient is φ = 4435213418496.

The previous prime is 18161112003737. The next prime is 18161112003869. The reversal of 18161112003840 is 4830021116181.

18161112003840 is a `hidden beast` number, since 1 + 8 + 1 + 61 + 11 + 200 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18161112003795 and 18161112003804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56899416 + ... + 57217704.

Almost surely, 218161112003840 is an apocalyptic number.

18161112003840 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 18161112003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34975436697600).

18161112003840 is an abundant number, since it is smaller than the sum of its proper divisors (51789761391360).

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

18161112003840 is a wasteful number, since it uses less digits than its factorization.

18161112003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318459 (or 318439 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 18161112003840 in words is "eighteen trillion, one hundred sixty-one billion, one hundred twelve million, three thousand, eight hundred forty".