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21226526013312 = 273219969779149
BaseRepresentation
bin1001101001110001011111…
…00010101111011110000000
32210011020101002112201011200
410310320233202233132000
510240233411124411222
6113051155331141200
74320365050066464
oct464705742573600
983136332481150
1021226526013312
116844134618584
122469a14744800
13bac8643046b9
145355256844a4
1526c23d6caeac
hex134e2f8af780

21226526013312 has 96 divisors (see below), whose sum is σ = 64296357645000. Its totient is φ = 6703113470976.

The previous prime is 21226526013311. The next prime is 21226526013367. The reversal of 21226526013312 is 21331062562212.

21226526013312 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 6 + 5 + 2 + 601 + 33 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×212265260133122 (a number of 27 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 not an unprimeable number, because it can be changed into a prime (21226526013311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484867687 + ... + 484911462.

Almost surely, 221226526013312 is an apocalyptic number.

It is an amenable number.

21226526013312 is an abundant number, since it is smaller than the sum of its proper divisors (43069831631688).

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

21226526013312 is a wasteful number, since it uses less digits than its factorization.

21226526013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969779188 (or 969779173 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 21226526013312 its reverse (21331062562212), we get a palindrome (42557588575524).

The spelling of 21226526013312 in words is "twenty-one trillion, two hundred twenty-six billion, five hundred twenty-six million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 969779149 1939558298 2909337447 3879116596 5818674894 7758233192 8728012341 11637349788 15516466384 17456024682 18425803831 23274699576 31032932768 34912049364 36851607662 46549399152 55277411493 62065865536 69824098728 73703215324 93098798304 110554822986 124131731072 139648197456 147406430648 165832234479 186197596608 221109645972 279296394912 294812861296 331664468958 372395193216 442219291944 558592789824 589625722592 663328937916 884438583888 1117185579648 1179251445184 1326657875832 1768877167776 2358502890368 2653315751664 3537754335552 5306631503328 7075508671104 10613263006656 21226526013312