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21320591361576 = 233132310129416801
BaseRepresentation
bin1001101100100000101100…
…10001100100011000101000
32210111020011200002111201020
410312100112101210120220
510243304032342032301
6113202313334052440
74330235062260363
oct466202621443050
983436150074636
1021320591361576
116880014aa6a21
1224840a6aaa120
13bb86a54487a0
14539cca4670da
1526e8e68da436
hex136416464628

21320591361576 has 128 divisors (see below), whose sum is σ = 60490358288640. Its totient is φ = 6212828160000.

The previous prime is 21320591361481. The next prime is 21320591361581. The reversal of 21320591361576 is 67516319502312.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13983625 + ... + 15433176.

It is an arithmetic number, because the mean of its divisors is an integer number (472580924130).

Almost surely, 221320591361576 is an apocalyptic number.

21320591361576 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21320591361576 is an abundant number, since it is smaller than the sum of its proper divisors (39169766927064).

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

21320591361576 is a wasteful number, since it uses less digits than its factorization.

21320591361576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29416947 (or 29416943 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 21320591361576 in words is "twenty-one trillion, three hundred twenty billion, five hundred ninety-one million, three hundred sixty-one thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 101 104 138 156 184 202 276 299 303 312 404 552 598 606 808 897 1196 1212 1313 1794 2323 2392 2424 2626 3588 3939 4646 5252 6969 7176 7878 9292 10504 13938 15756 18584 27876 30199 31512 55752 60398 90597 120796 181194 241592 362388 724776 29416801 58833602 88250403 117667204 176500806 235334408 353001612 382418413 676586423 706003224 764836826 1147255239 1353172846 1529673652 2029759269 2294510478 2706345692 2971096901 3059347304 4059518538 4589020956 5412691384 5942193802 8119037076 8795623499 8913290703 9178041912 11884387604 16238074152 17591246998 17826581406 23768775208 26386870497 35182493996 35653162812 38624259713 52773740994 68335228723 70364987992 71306325624 77248519426 105547481988 115872779139 136670457446 154497038852 205005686169 211094963976 231745558278 273340914892 308994077704 410011372338 463491116556 546681829784 820022744676 888357973399 926982233112 1640045489352 1776715946798 2665073920197 3553431893596 5330147840394 7106863787192 10660295680788 21320591361576