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20008336640 = 285232113221
BaseRepresentation
bin10010101000100101…
…101111110100000000
31220122102012210222012
4102220211233310000
5311434113233030
613105224032052
71305553024655
oct225045576400
956572183865
1020008336640
118538203506
123a64902628
131b6b336366
14d7b455c2c
157c1866095
hex4a896fd00

20008336640 has 144 divisors (see below), whose sum is σ = 50262581376. Its totient is φ = 7616716800.

The previous prime is 20008336639. The next prime is 20008336687. The reversal of 20008336640 is 4663380002.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 20008336597 and 20008336606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6210230 + ... + 6213450.

It is an arithmetic number, because the mean of its divisors is an integer number (349045704).

Almost surely, 220008336640 is an apocalyptic number.

20008336640 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 20008336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25131290688).

20008336640 is an abundant number, since it is smaller than the sum of its proper divisors (30254244736).

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

20008336640 is a wasteful number, since it uses less digits than its factorization.

20008336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 20008336640 in words is "twenty billion, eight million, three hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 211 230 256 320 368 422 460 640 736 844 920 1055 1280 1472 1688 1840 2110 2944 3221 3376 3680 4220 4853 5888 6442 6752 7360 8440 9706 12884 13504 14720 16105 16880 19412 24265 25768 27008 29440 32210 33760 38824 48530 51536 54016 64420 67520 74083 77648 97060 103072 128840 135040 148166 155296 194120 206144 257680 270080 296332 310592 370415 388240 412288 515360 592664 621184 679631 740830 776480 824576 1030720 1185328 1242368 1359262 1481660 1552960 2061440 2370656 2718524 2963320 3105920 3398155 4122880 4741312 5437048 5926640 6211840 6796310 9482624 10874096 11853280 13592620 15631513 18965248 21748192 23706560 27185240 31263026 43496384 47413120 54370480 62526052 78157565 86992768 94826240 108740960 125052104 156315130 173985536 217481920 250104208 312630260 434963840 500208416 625260520 869927680 1000416832 1250521040 2000833664 2501042080 4001667328 5002084160 10004168320 20008336640