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245312451345420 = 223254133240169559
BaseRepresentation
bin110111110001110001000001…
…100001010111110000001100
31012011120122022112000002220200
4313301301001201113300030
5224123144400021023140
62225422552343013500
7102446145141634554
oct6761610141276014
91164518275002820
10245312451345420
1171189476558298
122361b24373a290
13a6b5b3225c1c4
144481286534164
151d56216d64030
hexdf1c41857c0c

245312451345420 has 72 divisors (see below), whose sum is σ = 762263568349920. Its totient is φ = 63821125551360.

The previous prime is 245312451345389. The next prime is 245312451345587. The reversal of 245312451345420 is 24543154213542.

245312451345420 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 1 + 24 + 51 + 34 + 542 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16620077400 + ... + 16620092159.

It is an arithmetic number, because the mean of its divisors is an integer number (10586994004860).

Almost surely, 2245312451345420 is an apocalyptic number.

245312451345420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245312451345420 is an abundant number, since it is smaller than the sum of its proper divisors (516951117004500).

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

245312451345420 is a wasteful number, since it uses less digits than its factorization.

245312451345420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33240169615 (or 33240169610 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 245312451345420 in words is "two hundred forty-five trillion, three hundred twelve billion, four hundred fifty-one million, three hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 33240169559 66480339118 99720508677 132960678236 166200847795 199441017354 299161526031 332401695590 398882034708 498602543385 598323052062 664803391180 997205086770 1196646104124 1362846951919 1495807630155 1994410173540 2725693903838 2991615260310 4088540855757 5451387807676 5983230520620 6814234759595 8177081711514 12265622567271 13628469519190 16354163423028 20442704278785 24531245134542 27256939038380 40885408557570 49062490269084 61328112836355 81770817115140 122656225672710 245312451345420