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18878760000 = 2632542292
BaseRepresentation
bin10001100101010000…
…110000010001000000
31210201200201101010100
4101211100300101000
5302130430310000
612401153202400
71235555545422
oct214520602100
953650641110
1018878760000
1180086278a1
1237aa560400
131a1b2cb309
14cb1418812
157575dba00
hex465430440

18878760000 has 315 divisors, whose sum is σ = 67915620201. Its totient is φ = 5012352000.

The previous prime is 18878759987. The next prime is 18878760013. The reversal of 18878760000 is 6787881.

The square root of 18878760000 is 137400.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (18878759987) and next prime (18878760013).

It can be written as a sum of positive squares in 7 ways, for example, as 5139169344 + 13739590656 = 71688^2 + 117216^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82439886 + ... + 82440114.

Almost surely, 218878760000 is an apocalyptic number.

18878760000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18878760000 is the 137400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18878760000

18878760000 is an abundant number, since it is smaller than the sum of its proper divisors (49036860201).

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

18878760000 is an frugal number, since it uses more digits than its factorization.

18878760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 18878760000 in words is "eighteen billion, eight hundred seventy-eight million, seven hundred sixty thousand".