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21126444277572 = 223214936731072301
BaseRepresentation
bin1001100110110111000100…
…01101001101111101000100
32202210200001020002202120100
410303123202031031331010
510232113424213340242
6112533204324204100
74310222661265404
oct463334215157504
982720036082510
1021126444277572
116805747036187
122452543539630
13ba32a48a781a
1453074d828804
152698321e854c
hex1336e234df44

21126444277572 has 72 divisors (see below), whose sum is σ = 53776052530200. Its totient is φ = 6992974425600.

The previous prime is 21126444277553. The next prime is 21126444277579. The reversal of 21126444277572 is 27577244462112.

21126444277572 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 6 + 4 + 44 + 27 + 7 + 572 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1879131022596 + 19247313254976 = 1370814^2 + 4387176^2 .

It is not an unprimeable number, because it can be changed into a prime (21126444277579) 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 23 ways as a sum of consecutive naturals, for example, 19165822 + ... + 20238122.

It is an arithmetic number, because the mean of its divisors is an integer number (746889618475).

Almost surely, 221126444277572 is an apocalyptic number.

It is an amenable number.

21126444277572 is an abundant number, since it is smaller than the sum of its proper divisors (32649608252628).

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

21126444277572 is a wasteful number, since it uses less digits than its factorization.

21126444277572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076133 (or 1076128 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 54.

The spelling of 21126444277572 in words is "twenty-one trillion, one hundred twenty-six billion, four hundred forty-four million, two hundred seventy-seven thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 3673 5364 7346 11019 14692 22038 33057 44076 66114 132228 547277 1072301 1094554 1641831 2144602 2189108 3216903 3283662 4289204 4925493 6433806 6567324 9650709 9850986 12867612 19301418 19701972 38602836 159772849 319545698 479318547 639091396 958637094 1437955641 1917274188 2875911282 3938561573 5751822564 7877123146 11815684719 15754246292 23631369438 35447054157 47262738876 70894108314 141788216628 586845674377 1173691348754 1760537023131 2347382697508 3521074046262 5281611069393 7042148092524 10563222138786 21126444277572