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18803708640 = 25325412931087
BaseRepresentation
bin10001100000110010…
…011101001011100000
31210112110111101000100
4101200302131023200
5302002222134030
612345512422400
71233654612663
oct214062351340
953473441010
1018803708640
117a7a226682
1237893a7a00
131a088b1522
14ca547d6da
15750c14360
hex460c9d2e0

18803708640 has 288 divisors, whose sum is σ = 66017742336. Its totient is φ = 4870840320.

The previous prime is 18803708639. The next prime is 18803708647. The reversal of 18803708640 is 4680730881.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18803708647) 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, 17298177 + ... + 17299263.

It is an arithmetic number, because the mean of its divisors is an integer number (229228272).

Almost surely, 218803708640 is an apocalyptic number.

18803708640 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 18803708640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33008871168).

18803708640 is an abundant number, since it is smaller than the sum of its proper divisors (47214033696).

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

18803708640 is a wasteful number, since it uses less digits than its factorization.

18803708640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 18803708640 in words is "eighteen billion, eight hundred three million, seven hundred eight thousand, six hundred forty".