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20413525446260 = 22523197271183093
BaseRepresentation
bin1001010010000111001001…
…11011101100111001110100
32200021111212200112201212122
410221003210323230321310
510133423400003240020
6111225502155335112
74204554122225552
oct451034473547164
980244780481778
1020413525446260
116560366a313a1
122358340451498
13b50caab181cb
1450803c886bd2
15256008dc4125
hex1290e4eece74

20413525446260 has 96 divisors (see below), whose sum is σ = 44976439613952. Its totient is φ = 7767785822720.

The previous prime is 20413525446241. The next prime is 20413525446289. The reversal of 20413525446260 is 6264452531402.

It is a happy number.

It is a super-2 number, since 2×204135254462602 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245629274 + ... + 245712366.

It is an arithmetic number, because the mean of its divisors is an integer number (468504579312).

Almost surely, 220413525446260 is an apocalyptic number.

20413525446260 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 20413525446260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22488219806976).

20413525446260 is an abundant number, since it is smaller than the sum of its proper divisors (24562914167692).

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

20413525446260 is a wasteful number, since it uses less digits than its factorization.

20413525446260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86033 (or 86031 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

Adding to 20413525446260 its reverse (6264452531402), we get a palindrome (26677977977662).

The spelling of 20413525446260 in words is "twenty trillion, four hundred thirteen billion, five hundred twenty-five million, four hundred forty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 197 230 394 460 788 985 1970 2711 3940 4531 5422 9062 10844 13555 18124 22655 27110 45310 54220 62353 83093 90620 124706 166186 249412 311765 332372 415465 534067 623530 830930 1068134 1247060 1661860 1911139 2136268 2670335 3822278 5340670 7644556 9555695 10681340 12283541 16369321 19111390 24567082 32738642 38222780 49134164 61417705 65477284 81846605 122835410 163693210 225265123 245670820 327386420 376494383 450530246 752988766 901060492 1126325615 1505977532 1882471915 2252651230 3764943830 4505302460 5181097829 7529887660 10362195658 20724391316 25905489145 44377229231 51810978290 88754458462 103621956580 177508916924 221886146155 443772292310 887544584620 1020676272313 2041352544626 4082705089252 5103381361565 10206762723130 20413525446260