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245635242426456 = 233194137097354163
BaseRepresentation
bin110111110110011101101001…
…010111101000000001011000
31012012201111111101101000022020
4313312131221113220001120
5224143441434030121311
62230231134512054440
7102511363202564511
oct6766355127500130
91165644441330266
10245635242426456
11712a335971a053
1223671909834420
13a70a3c4a8c17c
144492b484dda08
151d5e80a315c06
hexdf67695e8058

245635242426456 has 128 divisors (see below), whose sum is σ = 662194314028800. Its totient is φ = 75674842859520.

The previous prime is 245635242426439. The next prime is 245635242426467. The reversal of 245635242426456 is 654624242536542.

It is a self number, because there is not a number n which added to its sum of digits gives 245635242426456.

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, 693388431 + ... + 693742593.

It is an arithmetic number, because the mean of its divisors is an integer number (5173393078350).

Almost surely, 2245635242426456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245635242426456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331097157014400).

245635242426456 is an abundant number, since it is smaller than the sum of its proper divisors (416559071602344).

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

245635242426456 is a wasteful number, since it uses less digits than its factorization.

245635242426456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391329 (or 391325 counting only the distinct ones).

The product of its digits is 331776000, while the sum is 60.

The spelling of 245635242426456 in words is "two hundred forty-five trillion, six hundred thirty-five billion, two hundred forty-two million, four hundred twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 456 492 779 984 1558 2337 3116 4674 6232 9348 18696 37097 74194 111291 148388 222582 296776 354163 445164 704843 708326 890328 1062489 1409686 1416652 1520977 2114529 2124978 2819372 2833304 3041954 4229058 4249956 4562931 5638744 6083908 6729097 8458116 8499912 9125862 12167816 13458194 14520683 16916232 18251724 20187291 26916388 28898563 29041366 36503448 40374582 43562049 53832776 57797126 58082732 80749164 86695689 87124098 115594252 116165464 161498328 173391378 174248196 231188504 275892977 346782756 348496392 551785954 693565512 827678931 1103571908 1655357862 2207143816 3310715724 6621431448 13138384811 26276769622 39415154433 52553539244 78830308866 105107078488 157660617732 249629311409 315321235464 499258622818 538673777251 748887934227 998517245636 1077347554502 1497775868454 1616021331753 1997034491272 2154695109004 2995551736908 3232042663506 4309390218008 5991103473816 6464085327012 10234801767769 12928170654024 20469603535538 30704405303307 40939207071076 61408810606614 81878414142152 122817621213228 245635242426456