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20430342672 = 2433114899221
BaseRepresentation
bin10011000001101111…
…100100101000010000
31221201211021221102020
4103001233210220100
5313320131431142
613215141051440
71322166022155
oct230157445020
957654257366
1020430342672
118734439923
123b620b6b80
131c078b117c
14dbb50822c
157e8924cec
hex4c1be4a10

20430342672 has 80 divisors (see below), whose sum is σ = 54523415040. Its totient is φ = 6585292800.

The previous prime is 20430342659. The next prime is 20430342677. The reversal of 20430342672 is 27624303402.

It is not an unprimeable number, because it can be changed into a prime (20430342677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211022 + ... + 2220242.

It is an arithmetic number, because the mean of its divisors is an integer number (681542688).

Almost surely, 220430342672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20430342672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27261707520).

20430342672 is an abundant number, since it is smaller than the sum of its proper divisors (34093072368).

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

20430342672 is a wasteful number, since it uses less digits than its factorization.

20430342672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10752 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The spelling of 20430342672 in words is "twenty billion, four hundred thirty million, three hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 1489 2978 4467 5956 8934 9221 11912 17868 18442 23824 27663 35736 36884 46159 55326 71472 73768 92318 110652 138477 147536 184636 221304 276954 285851 369272 442608 553908 571702 738544 857553 1107816 1143404 1715106 2215632 2286808 3430212 4573616 6860424 13720848 13730069 27460138 41190207 54920276 82380414 109840552 164760828 219681104 329521656 425632139 659043312 851264278 1276896417 1702528556 2553792834 3405057112 5107585668 6810114224 10215171336 20430342672