Search a number
-
+
21316099279761 = 321113223174131817
BaseRepresentation
bin1001101100011000010101…
…00001101000101110010001
32210110210120121110002220200
410312030022201220232101
510243220332403423021
6113200251505125413
74330015545226056
oct466141241505621
983423517402820
1021316099279761
11687911a374410
122483252629869
13bb813a8b5100
145399c1a1d02d
1526e732363126
hex13630a868b91

21316099279761 has 144 divisors (see below), whose sum is σ = 37975889757312. Its totient is φ = 11399698252800.

The previous prime is 21316099279757. The next prime is 21316099279777. The reversal of 21316099279761 is 16797299061312.

21316099279761 is a `hidden beast` number, since 2 + 13 + 1 + 609 + 9 + 2 + 7 + 9 + 7 + 6 + 1 = 666.

It is not a de Polignac number, because 21316099279761 - 22 = 21316099279757 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21316099279711) 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 143 ways as a sum of consecutive naturals, for example, 669943525 + ... + 669975341.

It is an arithmetic number, because the mean of its divisors is an integer number (263721456648).

Almost surely, 221316099279761 is an apocalyptic number.

It is an amenable number.

21316099279761 is a deficient number, since it is larger than the sum of its proper divisors (16659790477551).

21316099279761 is a wasteful number, since it uses less digits than its factorization.

21316099279761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33624 (or 33608 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 21316099279761 in words is "twenty-one trillion, three hundred sixteen billion, ninety-nine million, two hundred seventy-nine thousand, seven hundred sixty-one".

Divisors: 1 3 9 11 13 23 33 39 69 99 117 143 169 207 253 299 429 507 759 897 1287 1521 1741 1859 2277 2691 3289 3887 5223 5577 9867 11661 15669 16731 19151 22633 29601 31817 34983 40043 42757 57453 67899 95451 120129 128271 172359 203697 248963 286353 294229 349987 360387 384813 413621 440473 520559 731791 746889 882687 1049961 1240863 1321419 1561677 2195373 2240667 2648061 3149883 3236519 3722589 3964257 4549831 4685031 5377073 5726149 6586119 6767267 8049701 9513283 9709557 13649493 16131219 17178447 20301801 24149103 28539849 29128671 40948479 48393657 51535341 55393397 59147803 60905403 72447309 74439937 85619547 104646113 123672679 166180191 177443409 223319811 313938339 371018037 498540573 532330227 609327367 669959433 720114161 941815017 1113054111 1274048131 1360399469 1827982101 2160342483 3822144393 4081198407 5483946303 6481027449 7921255771 9361484093 11466433179 12243595221 14014529441 16562625703 23763767313 28084452279 42043588323 49687877109 71291301939 84253356837 102976325023 126130764969 149063631327 182188882733 215314134139 308928975069 546566648199 645942402417 926786925207 1639699944597 1937827207251 2368455475529 7105366426587 21316099279761