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18990985660416 = 2113271143311183
BaseRepresentation
bin1000101000101101011101…
…11101000100100000000000
32111020112001102222011221200
410110112232331010200000
54442122014312113131
6104220201031021200
74000024220446260
oct424265675044000
974215042864850
1018990985660416
116062039347420
1221686b680a800
13a79ac45b7063
144992509497a0
1522deec05e2e6
hex1145aef44800

18990985660416 has 576 divisors, whose sum is σ = 69974278133760. Its totient is φ = 4817993564160.

The previous prime is 18990985660379. The next prime is 18990985660421. The reversal of 18990985660416 is 61406658909981.

18990985660416 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 0 + 9 + 8 + 5 + 6 + 604 + 1 + 6 = 666.

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

It is a super-2 number, since 2×189909856604162 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60872761 + ... + 61183943.

It is an arithmetic number, because the mean of its divisors is an integer number (121483121760).

Almost surely, 218990985660416 is an apocalyptic number.

18990985660416 is a gapful number since it is divisible by the number (16) 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 18990985660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34987139066880).

18990985660416 is an abundant number, since it is smaller than the sum of its proper divisors (50983292473344).

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

18990985660416 is a wasteful number, since it uses less digits than its factorization.

18990985660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311272 (or 311249 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 18990985660416 in words is "eighteen trillion, nine hundred ninety billion, nine hundred eighty-five million, six hundred sixty thousand, four hundred sixteen".