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14555064120 = 2335731938609
BaseRepresentation
bin11011000111000110…
…01010011100111000
31101120100220212101220
431203203022130320
5214302044022440
610404141312040
71023455001162
oct154343123470
941510825356
1014555064120
116199a55113
1229a2565620
1314ac60339c
149c10c3932
155a2c268d0
hex3638ca738

14555064120 has 128 divisors (see below), whose sum is σ = 44497857600. Its totient is φ = 3807903744.

The previous prime is 14555064119. The next prime is 14555064151. The reversal of 14555064120 is 2146055541.

14555064120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145550641202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686376 + ... + 1694984.

Almost surely, 214555064120 is an apocalyptic number.

14555064120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14555064120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22248928800).

14555064120 is an abundant number, since it is smaller than the sum of its proper divisors (29942793480).

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

14555064120 is a wasteful number, since it uses less digits than its factorization.

14555064120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8889 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 14555064120 in words is "fourteen billion, five hundred fifty-five million, sixty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 193 219 292 365 386 438 579 584 730 772 876 965 1095 1158 1460 1544 1752 1930 2190 2316 2895 2920 3860 4380 4632 5790 7720 8609 8760 11580 14089 17218 23160 25827 28178 34436 42267 43045 51654 56356 68872 70445 84534 86090 103308 112712 129135 140890 169068 172180 206616 211335 258270 281780 338136 344360 422670 516540 563560 628457 845340 1033080 1256914 1661537 1690680 1885371 2513828 3142285 3323074 3770742 4984611 5027656 6284570 6646148 7541484 8307685 9426855 9969222 12569140 13292296 15082968 16615370 18853710 19938444 24923055 25138280 33230740 37707420 39876888 49846110 66461480 75414840 99692220 121292201 199384440 242584402 363876603 485168804 606461005 727753206 970337608 1212922010 1455506412 1819383015 2425844020 2911012824 3638766030 4851688040 7277532060 14555064120