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270463745640 = 233511517939563
BaseRepresentation
bin1111101111100011100…
…1010011111001101000
3221212010002020211210110
43323320321103321220
513412402204330030
6324125504414320
725353225622524
oct3737071237150
9855102224713
10270463745640
11a4780808230
12445019173a0
131c673866c1a
14d13a532d84
15707e63b1b0
hex3ef8e53e68

270463745640 has 128 divisors (see below), whose sum is σ = 885347366400. Its totient is φ = 65552651520.

The previous prime is 270463745627. The next prime is 270463745659. The reversal of 270463745640 is 46547364072.

270463745640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 270463745640.

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 31 ways as a sum of consecutive naturals, for example, 6816499 + ... + 6856061.

It is an arithmetic number, because the mean of its divisors is an integer number (6916776300).

Almost surely, 2270463745640 is an apocalyptic number.

270463745640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270463745640 is an abundant number, since it is smaller than the sum of its proper divisors (614883620760).

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

270463745640 is a wasteful number, since it uses less digits than its factorization.

270463745640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44767 (or 44763 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 270463745640 in words is "two hundred seventy billion, four hundred sixty-three million, seven hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 5179 10358 15537 20716 25895 31074 39563 41432 51790 56969 62148 77685 79126 103580 113938 118689 124296 155370 158252 170907 197815 207160 227876 237378 284845 310740 316504 341814 395630 435193 455752 474756 569690 593445 621480 683628 791260 854535 870386 949512 1139380 1186890 1305579 1367256 1582520 1709070 1740772 2175965 2278760 2373780 2611158 3418140 3481544 4351930 4747560 5222316 6527895 6836280 8703860 10444632 13055790 17407720 26111580 52223160 204896777 409793554 614690331 819587108 1024483885 1229380662 1639174216 2048967770 2253864547 2458761324 3073451655 4097935540 4507729094 4917522648 6146903310 6761593641 8195871080 9015458188 11269322735 12293806620 13523187282 18030916376 22538645470 24587613240 27046374564 33807968205 45077290940 54092749128 67615936410 90154581880 135231872820 270463745640