Search a number
-
+
20344314656560 = 245534798187419
BaseRepresentation
bin1001010000000110001111…
…01001011111011100110000
32200000220020021020100000011
410220003013221133130300
510131310124023002220
6111134014340104304
74166554040223556
oct450030751373460
980026207210004
1020344314656560
116533a80280744
122346a45995094
13b475cb0465cb
145049549cbbd6
15254307c0865a
hex1280c7a5f730

20344314656560 has 40 divisors (see below), whose sum is σ = 48192994446480. Its totient is φ = 7984183863552.

The previous prime is 20344314656483. The next prime is 20344314656569. The reversal of 20344314656560 is 6565641344302.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×203443146565602 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20344314656569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2399089470 + ... + 2399097949.

It is an arithmetic number, because the mean of its divisors is an integer number (1204824861162).

Almost surely, 220344314656560 is an apocalyptic number.

20344314656560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20344314656560 is an abundant number, since it is smaller than the sum of its proper divisors (27848679789920).

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

20344314656560 is a wasteful number, since it uses less digits than its factorization.

20344314656560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798187485 (or 4798187479 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 20344314656560 in words is "twenty trillion, three hundred forty-four billion, three hundred fourteen million, six hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 4798187419 9596374838 19192749676 23990937095 38385499352 47981874190 76770998704 95963748380 191927496760 254303933207 383854993520 508607866414 1017215732828 1271519666035 2034431465656 2543039332070 4068862931312 5086078664140 10172157328280 20344314656560