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20112420040 = 23537163263317
BaseRepresentation
bin10010101110110010…
…110010110011001000
31220220200001210112221
4102232302302303020
5312142234420130
613123422543424
71311255515056
oct225662626310
956820053487
1020112420040
118590a33949
123a93737b74
131b86a7967b
14d8b1cb1d6
157caa7587a
hex4aecb2cc8

20112420040 has 128 divisors (see below), whose sum is σ = 47086997760. Its totient is φ = 7725487104.

The previous prime is 20112420023. The next prime is 20112420047. The reversal of 20112420040 is 4002421102.

It is a junction number, because it is equal to n+sod(n) for n = 20112419996 and 20112420023.

It is not an unprimeable number, because it can be changed into a prime (20112420047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63445962 + ... + 63446278.

It is an arithmetic number, because the mean of its divisors is an integer number (367867170).

Almost surely, 220112420040 is an apocalyptic number.

20112420040 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 20112420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23543498880).

20112420040 is an abundant number, since it is smaller than the sum of its proper divisors (26974577720).

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

20112420040 is a wasteful number, since it uses less digits than its factorization.

20112420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20112420040 its reverse (4002421102), we get a palindrome (24114841142).

The spelling of 20112420040 in words is "twenty billion, one hundred twelve million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 163 185 263 296 317 326 370 526 634 652 740 815 1052 1268 1304 1315 1480 1585 1630 2104 2536 2630 3170 3260 5260 6031 6340 6520 9731 10520 11729 12062 12680 19462 23458 24124 30155 38924 42869 46916 48248 48655 51671 58645 60310 77848 83371 85738 93832 97310 103342 117290 120620 166742 171476 194620 206684 214345 234580 241240 258355 333484 342952 389240 413368 416855 428690 469160 516710 666968 833710 857380 1033420 1586153 1667420 1714760 1911827 2066840 3084727 3172306 3334840 3823654 6169454 6344612 7647308 7930765 9559135 12338908 12689224 13589473 15294616 15423635 15861530 19118270 24677816 27178946 30847270 31723060 38236540 54357892 61694540 63446120 67947365 76473080 108715784 123389080 135894730 271789460 502810501 543578920 1005621002 2011242004 2514052505 4022484008 5028105010 10056210020 20112420040