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18949430880 = 2532519168897
BaseRepresentation
bin10001101001011110…
…010101111001100000
31210220121200211100100
4101221132111321200
5302302023242010
612412200022400
71240404335112
oct215136257140
953817624310
1018949430880
118044506986
12380a161a00
131a2cb432c3
14cba9733b2
1575d8eb2c0
hex469795e60

18949430880 has 144 divisors (see below), whose sum is σ = 65004436224. Its totient is φ = 5026652160.

The previous prime is 18949430867. The next prime is 18949430887. The reversal of 18949430880 is 8803494981.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18949430887) 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 23 ways as a sum of consecutive naturals, for example, 240592 + ... + 309488.

It is an arithmetic number, because the mean of its divisors is an integer number (451419696).

Almost surely, 218949430880 is an apocalyptic number.

18949430880 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 18949430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32502218112).

18949430880 is an abundant number, since it is smaller than the sum of its proper divisors (46055005344).

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

18949430880 is a wasteful number, since it uses less digits than its factorization.

18949430880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69109 (or 69098 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 18949430880 in words is "eighteen billion, nine hundred forty-nine million, four hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 191 240 288 360 382 480 573 720 764 955 1146 1440 1528 1719 1910 2292 2865 3056 3438 3820 4584 5730 6112 6876 7640 8595 9168 11460 13752 15280 17190 18336 22920 27504 30560 34380 45840 55008 68760 68897 91680 137520 137794 206691 275040 275588 344485 413382 551176 620073 688970 826764 1033455 1102352 1240146 1377940 1653528 2066910 2204704 2480292 2755880 3100365 3307056 4133820 4960584 5511760 6200730 6614112 8267640 9921168 11023520 12401460 13159327 16535280 19842336 24802920 26318654 33070560 39477981 49605840 52637308 65796635 78955962 99211680 105274616 118433943 131593270 157911924 197389905 210549232 236867886 263186540 315823848 394779810 421098464 473735772 526373080 592169715 631647696 789559620 947471544 1052746160 1184339430 1263295392 1579119240 1894943088 2105492320 2368678860 3158238480 3789886176 4737357720 6316476960 9474715440 18949430880