Search a number
-
+
20461126020 = 22354335922091
BaseRepresentation
bin10011000011100101…
…000000000110000100
31221210222012220020020
4103003211000012010
5313401022013040
613222200535140
71323021462426
oct230345000604
957728186206
1020461126020
11874a854905
123b704814b0
131c1109b87a
14dc163c816
157eb4a5cd0
hex4c3940184

20461126020 has 96 divisors (see below), whose sum is σ = 58789463040. Its totient is φ = 5314323840.

The previous prime is 20461126019. The next prime is 20461126031. The reversal of 20461126020 is 2062116402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915175 + ... + 937265.

It is an arithmetic number, because the mean of its divisors is an integer number (612390240).

Almost surely, 220461126020 is an apocalyptic number.

20461126020 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 20461126020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29394731520).

20461126020 is an abundant number, since it is smaller than the sum of its proper divisors (38328337020).

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

20461126020 is a wasteful number, since it uses less digits than its factorization.

20461126020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22505 (or 22503 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 20461126020 in words is "twenty billion, four hundred sixty-one million, one hundred twenty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 359 430 516 645 718 860 1077 1290 1436 1795 2154 2580 3590 4308 5385 7180 10770 15437 21540 22091 30874 44182 46311 61748 66273 77185 88364 92622 110455 132546 154370 185244 220910 231555 265092 308740 331365 441820 463110 662730 926220 949913 1325460 1899826 2849739 3799652 4749565 5699478 7930669 9499130 11398956 14248695 15861338 18998260 23792007 28497390 31722676 39653345 47584014 56994780 79306690 95168028 118960035 158613380 237920070 341018767 475840140 682037534 1023056301 1364075068 1705093835 2046112602 3410187670 4092225204 5115281505 6820375340 10230563010 20461126020