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20606173840 = 2457239713241
BaseRepresentation
bin10011001100001110…
…010100001010010000
31222012002011002102201
4103030032110022100
5314200140030330
613244421452544
71326432405400
oct231416241220
958162132381
1020606173840
11881471443a
123bb0b71154
131c35155695
14dd69d8800
158090a7eca
hex4cc394290

20606173840 has 120 divisors (see below), whose sum is σ = 55875890232. Its totient is φ = 7046645760.

The previous prime is 20606173817. The next prime is 20606173843. The reversal of 20606173840 is 4837160602.

It can be written as a sum of positive squares in 4 ways, for example, as 9913786624 + 10692387216 = 99568^2 + 103404^2 .

It is a super-2 number, since 2×206061738402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20606173840.

It is not an unprimeable number, because it can be changed into a prime (20606173843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1549620 + ... + 1562860.

Almost surely, 220606173840 is an apocalyptic number.

20606173840 is a gapful number since it is divisible by the number (20) 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 20606173840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27937945116).

20606173840 is an abundant number, since it is smaller than the sum of its proper divisors (35269716392).

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

20606173840 is a wasteful number, since it uses less digits than its factorization.

20606173840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13665 (or 13652 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 20606173840 in words is "twenty billion, six hundred six million, one hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 397 490 560 784 794 980 1588 1960 1985 2779 3176 3920 3970 5558 6352 7940 11116 13241 13895 15880 19453 22232 26482 27790 31760 38906 44464 52964 55580 66205 77812 92687 97265 105928 111160 132410 155624 185374 194530 211856 222320 264820 311248 370748 389060 463435 529640 648809 741496 778120 926870 1059280 1297618 1482992 1556240 1853740 2595236 3244045 3707480 5190472 5256677 6488090 7414960 10380944 10513354 12976180 21026708 25952360 26283385 36796739 42053416 51904720 52566770 73593478 84106832 105133540 147186956 183983695 210267080 257577173 294373912 367967390 420534160 515154346 588747824 735934780 1030308692 1287885865 1471869560 2060617384 2575771730 2943739120 4121234768 5151543460 10303086920 20606173840