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245323323222520 = 235614212099113777
BaseRepresentation
bin110111110001111011001001…
…100010010010100111111000
31012011121200101012100200120111
4313301323021202102213320
5224123334131221110040
62225431551233034104
7102450011434235344
oct6761731142224770
91164550335320514
10245323323222520
1171193045436494
12236213786b5934
13a6b6b7577758a
1444819d83b2624
151d56651545dea
hexdf1ec98929f8

245323323222520 has 128 divisors (see below), whose sum is σ = 562631754888000. Its totient is φ = 96244665753600.

The previous prime is 245323323222491. The next prime is 245323323222521. The reversal of 245323323222520 is 25222323323542.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245323323222521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2156119872 + ... + 2156233648.

Almost surely, 2245323323222520 is an apocalyptic number.

245323323222520 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 245323323222520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281315877444000).

245323323222520 is an abundant number, since it is smaller than the sum of its proper divisors (317308431665480).

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

245323323222520 is a wasteful number, since it uses less digits than its factorization.

245323323222520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116369 (or 116365 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 40.

The spelling of 245323323222520 in words is "two hundred forty-five trillion, three hundred twenty-three billion, three hundred twenty-three million, two hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 421 488 610 842 1220 1684 2099 2105 2440 3368 4198 4210 8396 8420 10495 16792 16840 20990 25681 41980 51362 83960 102724 113777 128039 128405 205448 227554 256078 256810 455108 512156 513620 568885 640195 883679 910216 1024312 1027240 1137770 1280390 1767358 2275540 2560780 3534716 4418395 4551080 5121560 6940397 7069432 8836790 13880794 17673580 27761588 34701985 35347160 47900117 53904419 55523176 69403970 95800234 107808838 138807940 191600468 215617676 238817923 239500585 269522095 277615880 383200936 431235352 477635846 479001170 539044190 955271692 958002340 1078088380 1194089615 1910543384 1916004680 2156176760 2388179230 2921907137 4776358460 5843814274 9552716920 11687628548 14567893303 14609535685 23375257096 29135786606 29219071370 58271573212 58438142740 72839466515 100542345583 116543146424 116876285480 145678933030 201084691166 291357866060 402169382332 502711727915 582715732120 804338764664 1005423455830 2010846911660 4021693823320 6133083080563 12266166161126 24532332322252 30665415402815 49064664644504 61330830805630 122661661611260 245323323222520