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18880362072 = 2332111329371709
BaseRepresentation
bin10001100101010110…
…110111011001011000
31210201210201202202100
4101211112313121120
5302131333041242
612401251403400
71235605300245
oct214526673130
953653652670
1018880362072
118009521520
1237aabb3560
131a1b73c5a0
14cb17145cc
1575780654c
hex4655b7658

18880362072 has 384 divisors, whose sum is σ = 63862344000. Its totient is φ = 4958392320.

The previous prime is 18880362071. The next prime is 18880362089. The reversal of 18880362072 is 27026308881.

18880362072 is a `hidden beast` number, since 18 + 8 + 8 + 0 + 3 + 620 + 7 + 2 = 666.

It is a super-2 number, since 2×188803620722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18880362071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11046754 + ... + 11048462.

Almost surely, 218880362072 is an apocalyptic number.

18880362072 is a gapful number since it is divisible by the number (12) 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 18880362072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31931172000).

18880362072 is an abundant number, since it is smaller than the sum of its proper divisors (44981981928).

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

18880362072 is a wasteful number, since it uses less digits than its factorization.

18880362072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1804 counting only the distinct ones).

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

The spelling of 18880362072 in words is "eighteen billion, eight hundred eighty million, three hundred sixty-two thousand, seventy-two".