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18479719104 = 2637112354347
BaseRepresentation
bin10001001101011110…
…100010001011000000
31202200212211222220220
4101031132202023000
5300321302002404
612253420303040
71222642010040
oct211536421300
952625758826
1018479719104
117923357530
1236b89a1a80
131986734442
14c74423720
157325674d9
hex44d7a22c0

18479719104 has 224 divisors, whose sum is σ = 63610638336. Its totient is φ = 4591150080.

The previous prime is 18479719099. The next prime is 18479719109. The reversal of 18479719104 is 40191797481.

It is an interprime number because it is at equal distance from previous prime (18479719099) and next prime (18479719109).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (18479719109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312859 + ... + 367205.

It is an arithmetic number, because the mean of its divisors is an integer number (283976064).

Almost surely, 218479719104 is an apocalyptic number.

18479719104 is a gapful number since it is divisible by the number (14) 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 18479719104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31805319168).

18479719104 is an abundant number, since it is smaller than the sum of its proper divisors (45130919232).

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

18479719104 is a wasteful number, since it uses less digits than its factorization.

18479719104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54403 (or 54393 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The spelling of 18479719104 in words is "eighteen billion, four hundred seventy-nine million, seven hundred nineteen thousand, one hundred four".