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20170471640 = 235111011373313
BaseRepresentation
bin10010110010010000…
…001111100011011000
31221001201022010101012
4102302100033203120
5312302120043030
613133255113052
71312562115524
oct226220174330
957051263335
1020170471640
118610783980
123aab072788
131b95ac3827
14d94bbcd84
157d0be1095
hex4b240f8d8

20170471640 has 128 divisors (see below), whose sum is σ = 50379693120. Its totient is φ = 7206912000.

The previous prime is 20170471631. The next prime is 20170471669. The reversal of 20170471640 is 4617407102.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20170471597 and 20170471606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6086624 + ... + 6089936.

Almost surely, 220170471640 is an apocalyptic number.

20170471640 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 20170471640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25189846560).

20170471640 is an abundant number, since it is smaller than the sum of its proper divisors (30209221480).

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

20170471640 is a wasteful number, since it uses less digits than its factorization.

20170471640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

Adding to 20170471640 its reverse (4617407102), we get a palindrome (24787878742).

The spelling of 20170471640 in words is "twenty billion, one hundred seventy million, four hundred seventy-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 137 202 220 274 404 440 505 548 685 808 1010 1096 1111 1370 1507 2020 2222 2740 3014 3313 4040 4444 5480 5555 6028 6626 7535 8888 11110 12056 13252 13837 15070 16565 22220 26504 27674 30140 33130 36443 44440 55348 60280 66260 69185 72886 110696 132520 138370 145772 152207 182215 276740 291544 304414 334613 364430 453881 553480 608828 669226 728860 761035 907762 1217656 1338452 1457720 1522070 1673065 1815524 2269405 2676904 3044140 3346130 3631048 3680743 4538810 4992691 6088280 6692260 7361486 9077620 9985382 13384520 14722972 18155240 18403715 19970764 24963455 29445944 36807430 39941528 45841981 49926910 73614860 91683962 99853820 147229720 183367924 199707640 229209905 366735848 458419810 504261791 916839620 1008523582 1833679240 2017047164 2521308955 4034094328 5042617910 10085235820 20170471640