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21805380146920 = 23519283367276247
BaseRepresentation
bin1001111010100111101011…
…11100000001011011101000
32212012120111102201110020011
410331103311330001123220
510324224404304200140
6114213130420141304
74410246435044326
oct475236574013350
985176442643204
1021805380146920
116a4767869a737
122542041837834
13c22314067816
145555593a4d16
1527c31bdd6cea
hex13d4f5f016e8

21805380146920 has 128 divisors (see below), whose sum is σ = 51968215756800. Its totient is φ = 8211427819776.

The previous prime is 21805380146909. The next prime is 21805380146959. The reversal of 21805380146920 is 2964108350812.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78796237 + ... + 79072483.

It is an arithmetic number, because the mean of its divisors is an integer number (406001685600).

Almost surely, 221805380146920 is an apocalyptic number.

21805380146920 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 21805380146920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25984107878400).

21805380146920 is an abundant number, since it is smaller than the sum of its proper divisors (30162835609880).

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

21805380146920 is a wasteful number, since it uses less digits than its factorization.

21805380146920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276927 (or 276923 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 21805380146920 in words is "twenty-one trillion, eight hundred five billion, three hundred eighty million, one hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 283 367 380 566 734 760 1132 1415 1468 1835 2264 2830 2936 3670 5377 5660 6973 7340 10754 11320 13946 14680 21508 26885 27892 34865 43016 53770 55784 69730 103861 107540 139460 207722 215080 276247 278920 415444 519305 552494 830888 1038610 1104988 1381235 1973359 2077220 2209976 2762470 3946718 4154440 5248693 5524940 7893436 9866795 10497386 11049880 15786872 19733590 20994772 26243465 39467180 41989544 52486930 78177901 78934360 101382649 104973860 156355802 202765298 209947720 312711604 390889505 405530596 506913245 625423208 781779010 811061192 1013826490 1485380119 1563558020 1926270331 2027652980 2970760238 3127116040 3852540662 4055305960 5941520476 7426900595 7705081324 9631351655 11883040952 14853801190 15410162648 19262703310 28691289667 29707602380 38525406620 57382579334 59415204760 77050813240 114765158668 143456448335 229530317336 286912896670 545134503673 573825793340 1090269007346 1147651586680 2180538014692 2725672518365 4361076029384 5451345036730 10902690073460 21805380146920