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20413051540 = 2257238376379
BaseRepresentation
bin10011000000101101…
…100111001010010100
31221200121202110102221
4103000231213022110
5313301220122130
613213322312124
71321566034540
oct230055471224
957617673387
1020413051540
1187256a9832
123b58358644
131c04138a2b
14db90c6a20
157e715b87a
hex4c0b67294

20413051540 has 96 divisors (see below), whose sum is σ = 51737978880. Its totient is φ = 6613723776.

The previous prime is 20413051507. The next prime is 20413051559. The reversal of 20413051540 is 4515031402.

It is a happy number.

It is a congruent number.

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, 229071 + ... + 305449.

It is an arithmetic number, because the mean of its divisors is an integer number (538937280).

Almost surely, 220413051540 is an apocalyptic number.

20413051540 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 20413051540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25868989440).

20413051540 is an abundant number, since it is smaller than the sum of its proper divisors (31324927340).

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

20413051540 is a wasteful number, since it uses less digits than its factorization.

20413051540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76501 (or 76499 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 20413051540 its reverse (4515031402), we get a palindrome (24928082942).

The spelling of 20413051540 in words is "twenty billion, four hundred thirteen million, fifty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 83 92 115 140 161 166 230 322 332 415 460 581 644 805 830 1162 1610 1660 1909 2324 2905 3220 3818 5810 7636 9545 11620 13363 19090 26726 38180 53452 66815 76379 133630 152758 267260 305516 381895 534653 763790 1069306 1527580 1756717 2138612 2673265 3513434 5346530 6339457 7026868 8783585 10693060 12297019 12678914 17567170 24594038 25357828 31697285 35134340 44376199 49188076 61485095 63394570 88752398 122970190 126789140 145807511 177504796 221880995 245940380 291615022 443761990 583230044 729037555 887523980 1020652577 1458075110 2041305154 2916150220 4082610308 5103262885 10206525770 20413051540