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20542341420 = 2233585744389
BaseRepresentation
bin10011001000011010…
…110100000100101100
31222000122001001211000
4103020122310010230
5314032314411140
613234221400300
71325026010136
oct231032640454
958018031730
1020542341420
118791686177
123b93709090
131c24b66213
14dcc340056
15803699a30
hex4c86b412c

20542341420 has 96 divisors (see below), whose sum is σ = 63985521600. Its totient is φ = 5471442432.

The previous prime is 20542341409. The next prime is 20542341433. The reversal of 20542341420 is 2414324502.

20542341420 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 234 + 1 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 440586 + ... + 484974.

It is an arithmetic number, because the mean of its divisors is an integer number (666515850).

Almost surely, 220542341420 is an apocalyptic number.

20542341420 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 20542341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31992760800).

20542341420 is an abundant number, since it is smaller than the sum of its proper divisors (43443180180).

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

20542341420 is a wasteful number, since it uses less digits than its factorization.

20542341420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45264 (or 45256 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20542341420 its reverse (2414324502), we get a palindrome (22956665922).

The spelling of 20542341420 in words is "twenty billion, five hundred forty-two million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 857 1714 2571 3428 4285 5142 7713 8570 10284 12855 15426 17140 23139 25710 30852 38565 44389 46278 51420 77130 88778 92556 115695 133167 154260 177556 221945 231390 266334 399501 443890 462780 532668 665835 799002 887780 1198503 1331670 1598004 1997505 2397006 2663340 3995010 4794012 5992515 7990020 11985030 23970060 38041373 76082746 114124119 152165492 190206865 228248238 342372357 380413730 456496476 570620595 684744714 760827460 1027117071 1141241190 1369489428 1711861785 2054234142 2282482380 3423723570 4108468284 5135585355 6847447140 10271170710 20542341420