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18864856450 = 25211234136373
BaseRepresentation
bin10001100100011011…
…101101110110000010
31210200201120000001001
4101210123231312002
5302113400401300
612355535202214
71235326430326
oct214433556602
953621500031
1018864856450
1180007a0960
1237a597636a
131a18470a6b
14cad639986
1575629216a
hex4646edd82

18864856450 has 96 divisors (see below), whose sum is σ = 40918131072. Its totient is φ = 6401472000.

The previous prime is 18864856433. The next prime is 18864856453. The reversal of 18864856450 is 5465846881.

It is a super-3 number, since 3×188648564503 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a junction number, because it is equal to n+sod(n) for n = 18864856391 and 18864856400.

It is not an unprimeable number, because it can be changed into a prime (18864856453) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 500464 + ... + 536836.

It is an arithmetic number, because the mean of its divisors is an integer number (426230532).

Almost surely, 218864856450 is an apocalyptic number.

18864856450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18864856450 is an abundant number, since it is smaller than the sum of its proper divisors (22053274622).

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

18864856450 is a wasteful number, since it uses less digits than its factorization.

18864856450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36460 (or 36455 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 55.

The spelling of 18864856450 in words is "eighteen billion, eight hundred sixty-four million, eight hundred fifty-six thousand, four hundred fifty".

Divisors: 1 2 5 10 11 22 23 25 41 46 50 55 82 110 115 205 230 253 275 410 451 506 550 575 902 943 1025 1150 1265 1886 2050 2255 2530 4510 4715 6325 9430 10373 11275 12650 20746 22550 23575 36373 47150 51865 72746 103730 181865 259325 363730 400103 518650 800206 836579 909325 1491293 1673158 1818650 2000515 2982586 4001030 4182895 7456465 8365790 9202369 10002575 14912930 16404223 18404738 20005150 20914475 32808446 34299739 37282325 41828950 46011845 68599478 74564650 82021115 92023690 164042230 171498695 230059225 342997390 377297129 410105575 460118450 754594258 820211150 857493475 1714986950 1886485645 3772971290 9432428225 18864856450