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64313045134128 = 24327531203823097
BaseRepresentation
bin11101001111110000011000…
…01101011010101100110000
322102201021012200201201111100
432213320030031122230300
531412201104023243003
6344441001032044400
716355315132612220
oct1647701415325460
9272637180651440
1064313045134128
111954601138235a
127268370833700
1329b690401abab
1411c4aa7532080
15767de35d6ba3
hex3a7e0c35ab30

64313045134128 has 120 divisors (see below), whose sum is σ = 209580786069408. Its totient is φ = 18028454685696.

The previous prime is 64313045134049. The next prime is 64313045134139. The reversal of 64313045134128 is 82143154031346.

64313045134128 is a `hidden beast` number, since 6 + 4 + 3 + 1 + 3 + 0 + 4 + 513 + 4 + 128 = 666.

64313045134128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601858125 + ... + 601964972.

Almost surely, 264313045134128 is an apocalyptic number.

It is an amenable number.

64313045134128 is an abundant number, since it is smaller than the sum of its proper divisors (145267740935280).

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

64313045134128 is a wasteful number, since it uses less digits than its factorization.

64313045134128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203823171 (or 1203823162 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 64313045134128 in words is "sixty-four trillion, three hundred thirteen billion, forty-five million, one hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 84 106 112 126 144 159 168 212 252 318 336 371 424 477 504 636 742 848 954 1008 1113 1272 1484 1908 2226 2544 2968 3339 3816 4452 5936 6678 7632 8904 13356 17808 26712 53424 1203823097 2407646194 3611469291 4815292388 7222938582 8426761679 9630584776 10834407873 14445877164 16853523358 19261169552 21668815746 25280285037 28891754328 33707046716 43337631492 50560570074 57783508656 63802624141 67414093432 75840855111 86675262984 101121140148 127605248282 134828186864 151681710222 173350525968 191407872423 202242280296 255210496564 303363420444 382815744846 404484560592 446618368987 510420993128 574223617269 606726840888 765631489692 893236737974 1020841986256 1148447234538 1213453681776 1339855106961 1531262979384 1786473475948 2296894469076 2679710213922 3062525958768 3572946951896 4019565320883 4593788938152 5359420427844 7145893903792 8039130641766 9187577876304 10718840855688 16078261283532 21437681711376 32156522567064 64313045134128