Search a number
-
+
19812453888 = 293171096961
BaseRepresentation
bin10010011100111010…
…100000111000000000
31220010202121221100110
4102130322200320000
5311033442011023
613033545351320
71300654036143
oct223472407000
956122557313
1019812453888
118447682937
123a0b198540
131b398910c6
14d5d42605a
157ae571a93
hex49cea0e00

19812453888 has 160 divisors (see below), whose sum is σ = 56407237920. Its totient is φ = 6157762560.

The previous prime is 19812453847. The next prime is 19812453901. The reversal of 19812453888 is 88835421891.

It is a super-3 number, since 3×198124538883 (a number of 32 digits) contains 333 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, 2842728 + ... + 2849688.

It is an arithmetic number, because the mean of its divisors is an integer number (352545237).

Almost surely, 219812453888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19812453888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28203618960).

19812453888 is an abundant number, since it is smaller than the sum of its proper divisors (36594784032).

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

19812453888 is a wasteful number, since it uses less digits than its factorization.

19812453888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108 (or 7092 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 57.

The spelling of 19812453888 in words is "nineteen billion, eight hundred twelve million, four hundred fifty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 109 128 136 192 204 218 256 272 327 384 408 436 512 544 654 768 816 872 1088 1308 1536 1632 1744 1853 2176 2616 3264 3488 3706 4352 5232 5559 6528 6961 6976 7412 8704 10464 11118 13056 13922 13952 14824 20883 20928 22236 26112 27844 27904 29648 41766 41856 44472 55688 55808 59296 83532 83712 88944 111376 118337 118592 167064 167424 177888 222752 236674 237184 334128 355011 355776 445504 473348 474368 668256 710022 711552 758749 891008 946696 948736 1336512 1420044 1423104 1517498 1782016 1893392 2276247 2673024 2840088 2846208 3034996 3564032 3786784 4552494 5346048 5680176 6069992 7573568 9104988 10692096 11360352 12139984 12898733 15147136 18209976 22720704 24279968 25797466 30294272 36419952 38696199 45441408 48559936 51594932 60588544 72839904 77392398 90882816 97119872 103189864 145679808 154784796 181765632 194239744 206379728 291359616 309569592 388479488 412759456 582719232 619139184 825518912 1165438464 1238278368 1651037824 2476556736 3302075648 4953113472 6604151296 9906226944 19812453888