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21266642012 = 227112191013271
BaseRepresentation
bin10011110011100101…
…110011010001011100
32000220002221100102212
4103303211303101130
5322023230021022
613434133535552
71352002321520
oct236345632134
960802840385
1021266642012
119023512a00
1241561a45b8
13200bc33355
14105a601d80
1584706c3e2
hex4f397345c

21266642012 has 144 divisors (see below), whose sum is σ = 49714506240. Its totient is φ = 7769520000.

The previous prime is 21266642011. The next prime is 21266642021. The reversal of 21266642012 is 21024666212.

It is a self number, because there is not a number n which added to its sum of digits gives 21266642012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21266642011) 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 47 ways as a sum of consecutive naturals, for example, 6499937 + ... + 6503207.

Almost surely, 221266642012 is an apocalyptic number.

21266642012 is a gapful number since it is divisible by the number (22) 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 21266642012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24857253120).

21266642012 is an abundant number, since it is smaller than the sum of its proper divisors (28447864228).

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

21266642012 is a wasteful number, since it uses less digits than its factorization.

21266642012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 21266642012 in words is "twenty-one billion, two hundred sixty-six million, six hundred forty-two thousand, twelve".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 101 121 133 154 202 209 242 266 308 404 418 484 532 707 836 847 1111 1414 1463 1694 1919 2222 2299 2828 2926 3271 3388 3838 4444 4598 5852 6542 7676 7777 9196 12221 13084 13433 15554 16093 21109 22897 24442 26866 31108 32186 35981 42218 45794 48884 53732 62149 64372 71962 84436 85547 91588 124298 143924 147763 171094 232199 248596 251867 295526 330371 342188 395791 435043 464398 503734 591052 660742 683639 791582 870086 928796 1007468 1321484 1367278 1583164 1625393 1740172 2312597 2734556 2770537 3250786 3634081 4625194 4785473 5541074 6277049 6501572 7268162 7520029 9250388 9570946 11082148 12554098 14536324 15040058 19141892 25108196 25438567 30080116 39974891 43939343 50877134 52640203 69047539 79949782 87878686 101754268 105280406 138095078 159899564 175757372 210560812 276190156 279824237 483332773 559648474 759522929 966665546 1119296948 1519045858 1933331092 3038091716 5316660503 10633321006 21266642012