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20042362920 = 23354119321107
BaseRepresentation
bin10010101010100111…
…100011000000101000
31220201210020112020210
4102222213203000220
5312021321103140
613112441221120
71306445162646
oct225247430050
956653215223
1020042362920
1185554339a8
123a741917a0
131b753bab58
14d81b92196
157c4837d80
hex4aa9e3028

20042362920 has 128 divisors (see below), whose sum is σ = 61915674240. Its totient is φ = 5187010560.

The previous prime is 20042362913. The next prime is 20042362969. The reversal of 20042362920 is 2926324002.

It is a super-2 number, since 2×200423629202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 939007 + ... + 960113.

It is an arithmetic number, because the mean of its divisors is an integer number (483716205).

Almost surely, 220042362920 is an apocalyptic number.

20042362920 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 20042362920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30957837120).

20042362920 is an abundant number, since it is smaller than the sum of its proper divisors (41873311320).

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

20042362920 is a wasteful number, since it uses less digits than its factorization.

20042362920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21355 (or 21351 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 20042362920 its reverse (2926324002), we get a palindrome (22968686922).

The spelling of 20042362920 in words is "twenty billion, forty-two million, three hundred sixty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 193 205 246 328 386 410 492 579 615 772 820 965 984 1158 1230 1544 1640 1930 2316 2460 2895 3860 4632 4920 5790 7720 7913 11580 15826 21107 23160 23739 31652 39565 42214 47478 63304 63321 79130 84428 94956 105535 118695 126642 158260 168856 189912 211070 237390 253284 316520 316605 422140 474780 506568 633210 844280 865387 949560 1266420 1730774 2532840 2596161 3461548 4073651 4326935 5192322 6923096 8147302 8653870 10384644 12220953 12980805 16294604 17307740 20368255 20769288 24441906 25961610 32589208 34615480 40736510 48883812 51923220 61104765 81473020 97767624 103846440 122209530 162946040 167019691 244419060 334039382 488838120 501059073 668078764 835098455 1002118146 1336157528 1670196910 2004236292 2505295365 3340393820 4008472584 5010590730 6680787640 10021181460 20042362920