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18829987776 = 2632227144013
BaseRepresentation
bin10001100010010110…
…101100111111000000
31210121021221111012200
4101202112230333000
5302030434102101
612352251553200
71234424153355
oct214226547700
953537844180
1018829987776
117a93045576
12379615b800
131a11182a02
14ca8b6062c
157531a5986
hex4625acfc0

18829987776 has 84 divisors (see below), whose sum is σ = 54210901992. Its totient is φ = 6248968704.

The previous prime is 18829987751. The next prime is 18829987789. The reversal of 18829987776 is 67778992881.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58746 + ... + 202758.

Almost surely, 218829987776 is an apocalyptic number.

18829987776 is a gapful number since it is divisible by the number (16) 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 18829987776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27105450996).

18829987776 is an abundant number, since it is smaller than the sum of its proper divisors (35380914216).

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

18829987776 is a wasteful number, since it uses less digits than its factorization.

18829987776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144258 (or 144245 counting only the distinct ones).

The product of its digits is 170698752, while the sum is 72.

The spelling of 18829987776 in words is "eighteen billion, eight hundred twenty-nine million, nine hundred eighty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 227 288 454 576 681 908 1362 1816 2043 2724 3632 4086 5448 7264 8172 10896 14528 16344 21792 32688 43584 65376 130752 144013 288026 432039 576052 864078 1152104 1296117 1728156 2304208 2592234 3456312 4608416 5184468 6912624 9216832 10368936 13825248 20737872 27650496 32690951 41475744 65381902 82951488 98072853 130763804 196145706 261527608 294218559 392291412 523055216 588437118 784582824 1046110432 1176874236 1569165648 2092220864 2353748472 3138331296 4707496944 6276662592 9414993888 18829987776