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18877117440 = 210351279677
BaseRepresentation
bin10001100101001010…
…011111010000000000
31210201120121220221210
4101211022133100000
5302130020224230
612401054050120
71235535564546
oct214512372000
953646556853
1018877117440
118007705805
1237a9aa9940
131a1ab7479c
14cb110bd96
157573b4eb0
hex46529f400

18877117440 has 176 divisors, whose sum is σ = 60858980352. Its totient is φ = 4993744896.

The previous prime is 18877117429. The next prime is 18877117447. The reversal of 18877117440 is 4471177881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18877117440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18877117447) 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 15 ways as a sum of consecutive naturals, for example, 1945882 + ... + 1955558.

Almost surely, 218877117440 is an apocalyptic number.

18877117440 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 18877117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30429490176).

18877117440 is an abundant number, since it is smaller than the sum of its proper divisors (41981862912).

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

18877117440 is a wasteful number, since it uses less digits than its factorization.

18877117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9832 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 48.

The spelling of 18877117440 in words is "eighteen billion, eight hundred seventy-seven million, one hundred seventeen thousand, four hundred forty".