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245402404551220 = 225722572069470933
BaseRepresentation
bin110111110011000100110011…
…001001100111101000110100
31012011220020111111211102110111
4313303010303021213220310
5224131133111031114340
62225532150332232404
7102455511232365100
oct6763046311475064
91164806444742414
10245402404551220
1171213636818194
122363476890b704
13a6c14694792b7
14448577b130900
151d5872e04aaea
hexdf3133267a34

245402404551220 has 144 divisors (see below), whose sum is σ = 602107786823760. Its totient is φ = 83769896534016.

The previous prime is 245402404551217. The next prime is 245402404551257. The reversal of 245402404551220 is 22155404204542.

It can be written as a sum of positive squares in 8 ways, for example, as 2109105580176 + 243293298971044 = 1452276^2 + 15597862^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520862874 + ... + 521333806.

It is an arithmetic number, because the mean of its divisors is an integer number (4181304075165).

Almost surely, 2245402404551220 is an apocalyptic number.

245402404551220 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 245402404551220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301053893411880).

245402404551220 is an abundant number, since it is smaller than the sum of its proper divisors (356705382272540).

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

245402404551220 is a wasteful number, since it uses less digits than its factorization.

245402404551220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473282 (or 473273 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

Adding to 245402404551220 its reverse (22155404204542), we get a palindrome (267557808755762).

The spelling of 245402404551220 in words is "two hundred forty-five trillion, four hundred two billion, four hundred four million, five hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 257 490 514 980 1028 1285 1799 2069 2570 3598 4138 5140 7196 8276 8995 10345 12593 14483 17990 20690 25186 28966 35980 41380 50372 57932 62965 72415 101381 125930 144830 202762 251860 289660 405524 470933 506905 531733 941866 1013810 1063466 1883732 2027620 2126932 2354665 2658665 3296531 3722131 4709330 5317330 6593062 7444262 9418660 10634660 13186124 14888524 16482655 18610655 23075717 26054917 32965310 37221310 46151434 52109834 65930620 74442620 92302868 104219668 115378585 121029781 130274585 230757170 242059562 260549170 461514340 484119124 521098340 605148905 847208467 974360377 1210297810 1694416934 1948720754 2420595620 3388833868 3897441508 4236042335 4871801885 5930459269 6820522639 8472084670 9743603770 11860918538 13641045278 16944169340 19487207540 23721837076 27282090556 29652296345 34102613195 47743658473 59304592690 68205226390 95487316946 118609185380 136410452780 190974633892 238718292365 250410616889 477436584730 500821233778 954873169460 1001642467556 1252053084445 1752874318223 2504106168890 3505748636446 5008212337780 7011497272892 8764371591115 12270120227561 17528743182230 24540240455122 35057486364460 49080480910244 61350601137805 122701202275610 245402404551220