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21920985405 = 32511374312777
BaseRepresentation
bin10100011010100101…
…111011000100111101
32002120201012102211100
4110122211323010331
5324343233013110
614023110443313
71404136205304
oct243245730475
962521172740
1021920985405
119329908870
1242b9363539
1320b46782a7
1410bd49343b
15884721bc0
hex51a97b13d

21920985405 has 96 divisors (see below), whose sum is σ = 42685014528. Its totient is φ = 10313395200.

The previous prime is 21920985397. The next prime is 21920985433. The reversal of 21920985405 is 50458902912.

It is a happy number.

21920985405 is a `hidden beast` number, since 2 + 19 + 2 + 0 + 98 + 540 + 5 = 666.

It is not a de Polignac number, because 21920985405 - 23 = 21920985397 is a prime.

It is a super-2 number, since 2×219209854052 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7892377 + ... + 7895153.

It is an arithmetic number, because the mean of its divisors is an integer number (444635568).

Almost surely, 221920985405 is an apocalyptic number.

It is an amenable number.

21920985405 is a deficient number, since it is larger than the sum of its proper divisors (20764029123).

21920985405 is a wasteful number, since it uses less digits than its factorization.

21920985405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 21920985405 in words is "twenty-one billion, nine hundred twenty million, nine hundred eighty-five thousand, four hundred five".

Divisors: 1 3 5 9 11 15 33 37 45 55 99 111 165 185 333 407 431 495 555 1221 1293 1665 2035 2155 2777 3663 3879 4741 6105 6465 8331 13885 14223 15947 18315 19395 23705 24993 30547 41655 42669 47841 71115 79735 91641 102749 124965 143523 152735 175417 213345 239205 274923 308247 458205 513745 526251 717615 877085 924741 1130239 1196887 1374615 1541235 1578753 2631255 3390717 3590661 4623705 5651195 5984435 7893765 10172151 10771983 13165757 16953585 17953305 39497271 44284819 50860755 53859915 65828785 118491813 132854457 197486355 221424095 398563371 487133009 592459065 664272285 1461399027 1992816855 2435665045 4384197081 7306995135 21920985405