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20144701632 = 2631171134341
BaseRepresentation
bin10010110000101101…
…111100000011000000
31220222220210212120110
4102300231330003000
5312224020423012
613130534511320
71312130065356
oct226055740300
956886725513
1020144701632
1185a8182550
123aa2505540
131b9066ccc3
14d915d17d6
157cd80073c
hex4b0b7c0c0

20144701632 has 112 divisors (see below), whose sum is σ = 58964315904. Its totient is φ = 6018432000.

The previous prime is 20144701627. The next prime is 20144701637. The reversal of 20144701632 is 23610744102.

It is an interprime number because it is at equal distance from previous prime (20144701627) and next prime (20144701637).

It is a self number, because there is not a number n which added to its sum of digits gives 20144701632.

It is not an unprimeable number, because it can be changed into a prime (20144701637) 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, 82782 + ... + 217122.

Almost surely, 220144701632 is an apocalyptic number.

20144701632 is a gapful number since it is divisible by the number (22) 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 20144701632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29482157952).

20144701632 is an abundant number, since it is smaller than the sum of its proper divisors (38819614272).

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

20144701632 is a wasteful number, since it uses less digits than its factorization.

20144701632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134438 (or 134428 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

It can be divided in two parts, 2014470 and 1632, that added together give a palindrome (2016102).

The spelling of 20144701632 in words is "twenty billion, one hundred forty-four million, seven hundred one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 132 142 176 192 213 264 284 352 426 528 568 704 781 852 1056 1136 1562 1704 2112 2272 2343 3124 3408 4544 4686 6248 6816 9372 12496 13632 18744 24992 37488 49984 74976 134341 149952 268682 403023 537364 806046 1074728 1477751 1612092 2149456 2955502 3224184 4298912 4433253 5911004 6448368 8597824 8866506 9538211 11822008 12896736 17733012 19076422 23644016 25793472 28614633 35466024 38152844 47288032 57229266 70932048 76305688 94576064 104920321 114458532 141864096 152611376 209840642 228917064 283728192 305222752 314760963 419681284 457834128 610445504 629521926 839362568 915668256 1259043852 1678725136 1831336512 2518087704 3357450272 5036175408 6714900544 10072350816 20144701632