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268454378558460 = 2235107316991319137
BaseRepresentation
bin111101000010100001100111…
…110111110101001111111100
31022012111222200012211100001110
4331002201213313311033330
5240141324031402332320
62350542123341242020
7110355121521433023
oct7502414767651774
91265458605740043
10268454378558460
11785a0954117896
1226138310263310
13b6a41a6ca5c63
144a41392c258ba
1521081ab4465e0
hexf42867df53fc

268454378558460 has 96 divisors (see below), whose sum is σ = 758721743942400. Its totient is φ = 70916498085888.

The previous prime is 268454378558357. The next prime is 268454378558461. The reversal of 268454378558460 is 64855873454862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268454378558461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202848012 + ... + 204167148.

It is an arithmetic number, because the mean of its divisors is an integer number (7903351499400).

Almost surely, 2268454378558460 is an apocalyptic number.

268454378558460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268454378558460 is an abundant number, since it is smaller than the sum of its proper divisors (490267365383940).

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

268454378558460 is a wasteful number, since it uses less digits than its factorization.

268454378558460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350955 (or 1350953 counting only the distinct ones).

The product of its (nonzero) digits is 6193152000, while the sum is 75.

The spelling of 268454378558460 in words is "two hundred sixty-eight trillion, four hundred fifty-four billion, three hundred seventy-eight million, five hundred fifty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 31699 63398 95097 126796 158495 190194 316990 380388 475485 633980 950970 1319137 1901940 2638274 3391793 3957411 5276548 6595685 6783586 7914822 10175379 13191370 13567172 15829644 16958965 19787055 20350758 26382740 33917930 39574110 40701516 50876895 67835860 79148220 101753790 141147659 203507580 282295318 423442977 564590636 705738295 846885954 1411476590 1693771908 2117214885 2822953180 4234429770 8468859540 41815323763 83630647526 125445971289 167261295052 209076618815 250891942578 418153237630 501783885156 627229856445 836306475260 1254459712890 2508919425780 4474239642641 8948479285282 13422718927923 17896958570564 22371198213205 26845437855846 44742396426410 53690875711692 67113594639615 89484792852820 134227189279230 268454378558460