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21122452764 = 22327317337039
BaseRepresentation
bin10011101010111111…
…110000110100011100
32000112001121202222100
4103222333300310130
5321224321442024
613411543245100
71345301612640
oct235277606434
960461552870
1021122452764
118a5a08a436
124115a49790
131cb80ba27a
1410453cac20
158395897c9
hex4eaff0d1c

21122452764 has 144 divisors (see below), whose sum is σ = 63853404160. Its totient is φ = 5760149760.

The previous prime is 21122452711. The next prime is 21122452801. The reversal of 21122452764 is 46725422112.

21122452764 is a `hidden beast` number, since 2 + 1 + 122 + 4 + 527 + 6 + 4 = 666.

It is a super-2 number, since 2×211224527642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551757 + ... + 588795.

Almost surely, 221122452764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122452764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31926702080).

21122452764 is an abundant number, since it is smaller than the sum of its proper divisors (42730951396).

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

21122452764 is a wasteful number, since it uses less digits than its factorization.

21122452764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37160 (or 37155 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

Adding to 21122452764 its reverse (46725422112), we get a palindrome (67847874876).

It can be divided in two parts, 21122452 and 764, that added together give a square (21123216 = 45962).

The spelling of 21122452764 in words is "twenty-one billion, one hundred twenty-two million, four hundred fifty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 73 84 93 124 126 146 186 217 219 252 279 292 372 434 438 511 558 651 657 868 876 1022 1116 1302 1314 1533 1953 2044 2263 2604 2628 3066 3906 4526 4599 6132 6789 7812 9052 9198 13578 15841 18396 20367 27156 31682 37039 40734 47523 63364 74078 81468 95046 111117 142569 148156 190092 222234 259273 285138 333351 444468 518546 570276 666702 777819 1037092 1148209 1333404 1555638 2296418 2333457 2703847 3111276 3444627 4592836 4666914 5407694 6889254 8037463 8111541 9333828 10333881 10815388 13778508 16074926 16223082 18926929 20667762 24112389 24334623 32149852 32446164 37853858 41335524 48224778 48669246 56780787 72337167 75707716 83819257 96449556 97338492 113561574 144674334 167638514 170342361 227123148 251457771 289348668 335277028 340684722 502915542 586734799 681369444 754373313 1005831084 1173469598 1508746626 1760204397 2346939196 3017493252 3520408794 5280613191 7040817588 10561226382 21122452764