Search a number
-
+
21238174464 = 2831319111959
BaseRepresentation
bin10011110001111001…
…001101001100000000
32000211010101001022020
4103301321031030000
5321443433040324
613431235441440
71351205334663
oct236171151400
960733331266
1021238174464
119009439901
124148756280
132006076a50
1410569116da
158447e7679
hex4f1e4d300

21238174464 has 144 divisors (see below), whose sum is σ = 64076947200. Its totient is φ = 6190829568.

The previous prime is 21238174459. The next prime is 21238174471. The reversal of 21238174464 is 46447183212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133717 + ... + 245675.

It is an arithmetic number, because the mean of its divisors is an integer number (444978800).

Almost surely, 221238174464 is an apocalyptic number.

21238174464 is a gapful number since it is divisible by the number (24) 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 21238174464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32038473600).

21238174464 is an abundant number, since it is smaller than the sum of its proper divisors (42838772736).

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

21238174464 is a wasteful number, since it uses less digits than its factorization.

21238174464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112010 (or 111996 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The spelling of 21238174464 in words is "twenty-one billion, two hundred thirty-eight million, one hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 608 624 741 768 832 912 988 1216 1248 1482 1664 1824 1976 2432 2496 2964 3328 3648 3952 4864 4992 5928 7296 7904 9984 11856 14592 15808 23712 31616 47424 63232 94848 111959 189696 223918 335877 447836 671754 895672 1343508 1455467 1791344 2127221 2687016 2910934 3582688 4254442 4366401 5374032 5821868 6381663 7165376 8508884 8732802 10748064 11643736 12763326 14330752 17017768 17465604 21496128 23287472 25526652 27653873 28661504 34035536 34931208 42992256 46574944 51053304 55307746 68071072 69862416 82961619 85984512 93149888 102106608 110615492 136142144 139724832 165923238 186299776 204213216 221230984 272284288 279449664 331846476 372599552 408426432 442461968 544568576 558899328 663692952 816852864 884923936 1117798656 1327385904 1633705728 1769847872 2654771808 3539695744 5309543616 7079391488 10619087232 21238174464