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18871690752 = 293217237383
BaseRepresentation
bin10001100100110101…
…110010011000000000
31210201012102012221100
4101210311302120000
5302122123101002
612400341454400
71235441503365
oct214465623000
953635365840
1018871690752
118004639642
1237a8111400
131a199c4725
14cb04d846c
15756b9211c
hex464d72600

18871690752 has 360 divisors, whose sum is σ = 59576115456. Its totient is φ = 5745475584.

The previous prime is 18871690697. The next prime is 18871690759. The reversal of 18871690752 is 25709617881.

It is a super-2 number, since 2×188716907522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18871690759) 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 35 ways as a sum of consecutive naturals, for example, 49273153 + ... + 49273535.

Almost surely, 218871690752 is an apocalyptic number.

18871690752 is a gapful number since it is divisible by the number (12) 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 18871690752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29788057728).

18871690752 is an abundant number, since it is smaller than the sum of its proper divisors (40704424704).

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

18871690752 is a wasteful number, since it uses less digits than its factorization.

18871690752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 18871690752 in words is "eighteen billion, eight hundred seventy-one million, six hundred ninety thousand, seven hundred fifty-two".