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18829214640 = 243552334157
BaseRepresentation
bin10001100010010011…
…110000001110110000
31210121020111012200000
4101202103300032300
5302030234332030
612352223230000
71234414453335
oct214223601660
953536435600
1018829214640
117a92667715
123795a48300
131a10c71b32
14ca89dc98c
157530a1860
hex4624f03b0

18829214640 has 240 divisors, whose sum is σ = 65874096288. Its totient is φ = 4998371328.

The previous prime is 18829214633. The next prime is 18829214647. The reversal of 18829214640 is 4641292881.

18829214640 is a `hidden beast` number, since 188 + 2 + 9 + 2 + 1 + 464 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18829214633) and next prime (18829214647).

It is a tau number, because it is divible by the number of its divisors (240).

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 (18829214647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4527442 + ... + 4531598.

Almost surely, 218829214640 is an apocalyptic number.

18829214640 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 18829214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32937048144).

18829214640 is an abundant number, since it is smaller than the sum of its proper divisors (47044881648).

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

18829214640 is a wasteful number, since it uses less digits than its factorization.

18829214640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18829214640 in words is "eighteen billion, eight hundred twenty-nine million, two hundred fourteen thousand, six hundred forty".