Search a number
-
+
18679020240 = 24353110932297
BaseRepresentation
bin10001011001010110…
…110011101011010000
31210012202212112200110
4101121112303223100
5301223312121430
612325300121320
71230612023646
oct213126635320
953182775613
1018679020240
117a15902411
123753696240
1319b8b055ca
14c92aa3196
15744cd47b0
hex4595b3ad0

18679020240 has 160 divisors (see below), whose sum is σ = 59853597696. Its totient is φ = 4813885440.

The previous prime is 18679020229. The next prime is 18679020247. The reversal of 18679020240 is 4202097681.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18679020247) 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 31 ways as a sum of consecutive naturals, for example, 8130772 + ... + 8133068.

Almost surely, 218679020240 is an apocalyptic number.

18679020240 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 18679020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29926798848).

18679020240 is an abundant number, since it is smaller than the sum of its proper divisors (41174577456).

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

18679020240 is a wasteful number, since it uses less digits than its factorization.

18679020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 18679020240 in words is "eighteen billion, six hundred seventy-nine million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1093 1240 1488 1860 2186 2297 2480 3279 3720 4372 4594 5465 6558 6891 7440 8744 9188 10930 11485 13116 13782 16395 17488 18376 21860 22970 26232 27564 32790 33883 34455 36752 43720 45940 52464 55128 65580 67766 68910 71207 87440 91880 101649 110256 131160 135532 137820 142414 169415 183760 203298 213621 262320 271064 275640 284828 338830 356035 406596 427242 508245 542128 551280 569656 677660 712070 813192 854484 1016490 1068105 1139312 1355320 1424140 1626384 1708968 2032980 2136210 2510621 2710640 2848280 3417936 4065960 4272420 5021242 5696560 7531863 8131920 8544840 10042484 12553105 15063726 17089680 20084968 25106210 30127452 37659315 40169936 50212420 60254904 75318630 77829251 100424840 120509808 150637260 155658502 200849680 233487753 301274520 311317004 389146255 466975506 602549040 622634008 778292510 933951012 1167438765 1245268016 1556585020 1867902024 2334877530 3113170040 3735804048 4669755060 6226340080 9339510120 18679020240