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18696061440 = 293357172273
BaseRepresentation
bin10001011010010111…
…110100001000000000
31210020221221022211000
4101122113310020000
5301242142431230
612331105252000
71231206620520
oct213227641000
953227838730
1018696061440
117a24491751
123759334000
1319bc4c1064
14c9505b680
1574654db60
hex45a5f4200

18696061440 has 640 divisors, whose sum is σ = 80396997120. Its totient is φ = 4020240384.

The previous prime is 18696061411. The next prime is 18696061441. The reversal of 18696061440 is 4416069681.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18696061441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8224144 + ... + 8226416.

It is an arithmetic number, because the mean of its divisors is an integer number (125620308).

Almost surely, 218696061440 is an apocalyptic number.

18696061440 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 18696061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40198498560).

18696061440 is an abundant number, since it is smaller than the sum of its proper divisors (61700935680).

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

18696061440 is a wasteful number, since it uses less digits than its factorization.

18696061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 18696061440 in words is "eighteen billion, six hundred ninety-six million, sixty-one thousand, four hundred forty".