Search a number
-
+
21683230811655 = 357298838064473
BaseRepresentation
bin1001110111000100001010…
…10001010010011000000111
32211202220012122012022000220
410323202011101102120013
510320224224041433110
6114041045544035423
74365363446606340
oct473420521223007
984686178168026
1021683230811655
1169aa896570186
122522432162b73
13c139487aa94a
1454d68c80d0c7
1527906d3c1370
hex13b885452607

21683230811655 has 64 divisors (see below), whose sum is σ = 41063011292160. Its totient is φ = 9559689624576.

The previous prime is 21683230811639. The next prime is 21683230811657. The reversal of 21683230811655 is 55611803238612.

It is not a de Polignac number, because 21683230811655 - 24 = 21683230811639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21683230811598 and 21683230811607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21683230811657) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1343502 + ... + 6720971.

It is an arithmetic number, because the mean of its divisors is an integer number (641609551440).

Almost surely, 221683230811655 is an apocalyptic number.

21683230811655 is a deficient number, since it is larger than the sum of its proper divisors (19379780480505).

21683230811655 is a wasteful number, since it uses less digits than its factorization.

21683230811655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8065400.

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 21683230811655 in words is "twenty-one trillion, six hundred eighty-three billion, two hundred thirty million, eight hundred eleven thousand, six hundred fifty-five".

Divisors: 1 3 5 7 15 21 29 35 87 105 145 203 435 609 883 1015 2649 3045 4415 6181 13245 18543 25607 30905 76821 92715 128035 179249 384105 537747 896245 2688735 8064473 24193419 40322365 56451311 120967095 169353933 233869717 282256555 701609151 846769665 1169348585 1637088019 3508045755 4911264057 7120929659 8185440095 21362788977 24556320285 35604648295 49846507613 106813944885 149539522839 206506960111 249232538065 619520880333 747697614195 1032534800555 1445548720777 3097604401665 4336646162331 7227743603885 21683230811655