Search a number
-
+
18835932480 = 2635109180007
BaseRepresentation
bin10001100010101101…
…011000010101000000
31210121201010111210220
4101202231120111000
5302033444314410
612353023223040
71234525533021
oct214255302500
953551114726
1018835932480
117a96435952
123798147a80
131a124847a1
14ca986ac48
1575397c070
hex462b58540

18835932480 has 112 divisors (see below), whose sum is σ = 60353082240. Its totient is φ = 4976805888.

The previous prime is 18835932457. The next prime is 18835932491. The reversal of 18835932480 is 8423953881.

It is a super-2 number, since 2×188359324802 (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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14637 + ... + 194643.

Almost surely, 218835932480 is an apocalyptic number.

18835932480 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 18835932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30176541120).

18835932480 is an abundant number, since it is smaller than the sum of its proper divisors (41517149760).

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

18835932480 is a wasteful number, since it uses less digits than its factorization.

18835932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180136 (or 180126 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 18835932480 in words is "eighteen billion, eight hundred thirty-five million, nine hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 160 192 218 240 320 327 436 480 545 654 872 960 1090 1308 1635 1744 2180 2616 3270 3488 4360 5232 6540 6976 8720 10464 13080 17440 20928 26160 34880 52320 104640 180007 360014 540021 720028 900035 1080042 1440056 1800070 2160084 2700105 2880112 3600140 4320168 5400210 5760224 7200280 8640336 10800420 11520448 14400560 17280672 19620763 21600840 28801120 34561344 39241526 43201680 57602240 58862289 78483052 86403360 98103815 117724578 156966104 172806720 196207630 235449156 294311445 313932208 392415260 470898312 588622890 627864416 784830520 941796624 1177245780 1255728832 1569661040 1883593248 2354491560 3139322080 3767186496 4708983120 6278644160 9417966240 18835932480