Search a number
-
+
21018734080 = 29531833191
BaseRepresentation
bin10011100100110100…
…000110111000000000
32000020211110022200121
4103210310012320000
5321021243442310
613353400230024
71342602202051
oct234464067000
960224408617
1021018734080
118a06589013
1240a716b314
131c9c773c76
14103570c728
158303ed0da
hex4e4d06e00

21018734080 has 160 divisors (see below), whose sum is σ = 52664629248. Its totient is φ = 8035737600.

The previous prime is 21018734053. The next prime is 21018734089. The reversal of 21018734080 is 8043781012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21018734089) by changing a digit.

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, 6585285 + ... + 6588475.

Almost surely, 221018734080 is an apocalyptic number.

21018734080 is a gapful number since it is divisible by the number (20) 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 21018734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26332314624).

21018734080 is an abundant number, since it is smaller than the sum of its proper divisors (31645895168).

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

21018734080 is an equidigital number, since it uses as much as digits as its factorization.

21018734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 21018734080 in words is "twenty-one billion, eighteen million, seven hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 83 124 128 155 160 166 248 256 310 320 332 415 496 512 620 640 664 830 992 1240 1280 1328 1660 1984 2480 2560 2573 2656 3191 3320 3968 4960 5146 5312 6382 6640 7936 9920 10292 10624 12764 12865 13280 15872 15955 19840 20584 21248 25528 25730 26560 31910 39680 41168 42496 51056 51460 53120 63820 79360 82336 98921 102112 102920 106240 127640 164672 197842 204224 205840 212480 255280 264853 329344 395684 408448 411680 494605 510560 529706 658688 791368 816896 823360 989210 1021120 1059412 1317376 1324265 1582736 1633792 1646720 1978420 2042240 2118824 2648530 3165472 3293440 3956840 4084480 4237648 5297060 6330944 6586880 7913680 8168960 8210443 8475296 10594120 12661888 15827360 16420886 16950592 21188240 25323776 31654720 32841772 33901184 41052215 42376480 50647552 63309440 65683544 67802368 82104430 84752960 126618880 131367088 135604736 164208860 169505920 253237760 262734176 328417720 339011840 525468352 656835440 678023680 1050936704 1313670880 2101873408 2627341760 4203746816 5254683520 10509367040 21018734080