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18149599119168 = 2634113141713527
BaseRepresentation
bin1000010000001110010000…
…11010001000011101000000
32101021002021202202022110000
410020013020122020131000
54334330334333303133
6102333451041240000
73552156662034156
oct410071032103500
971232252668400
1018149599119168
1158682245a8730
122051620033000
13a1866623c62a
1446a633c093d6
152171a569d413
hex1081c8688740

18149599119168 has 1120 divisors, whose sum is σ = 62955065327616. Its totient is φ = 5118059520000.

The previous prime is 18149599119167. The next prime is 18149599119193. The reversal of 18149599119168 is 86191199594181.

18149599119168 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 9 + 599 + 1 + 19 + 16 + 8 = 666.

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 = 18149599119096 and 18149599119105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18149599119167) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5145901021 + ... + 5145904547.

Almost surely, 218149599119168 is an apocalyptic number.

18149599119168 is a gapful number since it is divisible by the number (18) 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 18149599119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31477532663808).

18149599119168 is an abundant number, since it is smaller than the sum of its proper divisors (44805466208448).

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

18149599119168 is a wasteful number, since it uses less digits than its factorization.

18149599119168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3686 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 72.

The spelling of 18149599119168 in words is "eighteen trillion, one hundred forty-nine billion, five hundred ninety-nine million, one hundred nineteen thousand, one hundred sixty-eight".