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20017182640 = 2457136741039
BaseRepresentation
bin10010101001000111…
…011111011110110000
31220200000212020101211
4102221013133132300
5311443344321030
613110141405504
71306021150030
oct225107373660
956600766354
1020017182640
1185421a5654
123a67869894
131b70112890
14d7c6b98c0
157c251212a
hex4a91df7b0

20017182640 has 160 divisors (see below), whose sum is σ = 58136279040. Its totient is φ = 6240402432.

The previous prime is 20017182631. The next prime is 20017182643. The reversal of 20017182640 is 4628171002.

It is not an unprimeable number, because it can be changed into a prime (20017182643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467241 + ... + 508279.

It is an arithmetic number, because the mean of its divisors is an integer number (363351744).

Almost surely, 220017182640 is an apocalyptic number.

20017182640 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 20017182640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29068139520).

20017182640 is an abundant number, since it is smaller than the sum of its proper divisors (38119096400).

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

20017182640 is a wasteful number, since it uses less digits than its factorization.

20017182640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41139 (or 41133 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The spelling of 20017182640 in words is "twenty billion, seventeen million, one hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 67 70 80 91 104 112 130 134 140 182 208 260 268 280 335 364 455 469 520 536 560 670 728 871 910 938 1040 1072 1340 1456 1742 1820 1876 2345 2680 3484 3640 3752 4355 4690 5360 6097 6968 7280 7504 8710 9380 12194 13936 17420 18760 24388 30485 34840 37520 41039 48776 60970 69680 82078 97552 121940 164156 205195 243880 287273 328312 410390 487760 533507 574546 656624 820780 1067014 1149092 1436365 1641560 2134028 2298184 2667535 2749613 2872730 3283120 3734549 4268056 4596368 5335070 5499226 5745460 7469098 8536112 10670140 10998452 11490920 13748065 14938196 18672745 19247291 21340280 21996904 22981840 27496130 29876392 35744969 37345490 38494582 42680560 43993808 54992260 59752784 71489938 74690980 76989164 96236455 109984520 142979876 149381960 153978328 178724845 192472910 219969040 250214783 285959752 298763920 307956656 357449690 384945820 500429566 571919504 714899380 769891640 1000859132 1251073915 1429798760 1539783280 2001718264 2502147830 2859597520 4003436528 5004295660 10008591320 20017182640