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21361579551 = 33132171132437
BaseRepresentation
bin10011111001001111…
…111101011000011111
32001010201120200021000
4103321033331120133
5322222031021201
613451404441343
71354234300404
oct237117753037
961121520230
1021361579551
119072066984
124181b49253
1320257c3800
1410690762ab
15850571d86
hex4f93fd61f

21361579551 has 96 divisors (see below), whose sum is σ = 36620320320. Its totient is φ = 12257796096.

The previous prime is 21361579543. The next prime is 21361579553. The reversal of 21361579551 is 15597516312.

21361579551 is a `hidden beast` number, since 2 + 13 + 6 + 15 + 79 + 551 = 666.

It is not a de Polignac number, because 21361579551 - 23 = 21361579543 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21361579497 and 21361579506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21361579553) 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 95 ways as a sum of consecutive naturals, for example, 8764305 + ... + 8766741.

It is an arithmetic number, because the mean of its divisors is an integer number (381461670).

Almost surely, 221361579551 is an apocalyptic number.

21361579551 is a deficient number, since it is larger than the sum of its proper divisors (15258740769).

21361579551 is a wasteful number, since it uses less digits than its factorization.

21361579551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2583 counting only the distinct ones).

The product of its digits is 283500, while the sum is 45.

The spelling of 21361579551 in words is "twenty-one billion, three hundred sixty-one million, five hundred seventy-nine thousand, five hundred fifty-one".

Divisors: 1 3 9 13 17 27 39 51 113 117 153 169 221 339 351 459 507 663 1017 1469 1521 1921 1989 2437 2873 3051 4407 4563 5763 5967 7311 8619 13221 17289 19097 21933 24973 25857 31681 39663 41429 51867 57291 65799 74919 77571 95043 124287 171873 224757 275381 285129 324649 372861 411853 515619 538577 674271 826143 855387 973947 1118583 1235559 1615731 2478429 2921841 3579953 3706677 4681477 4847193 7001501 7435287 8765523 10739859 11120031 14044431 14541579 21004503 32219577 42133293 46539389 60859201 63013509 96658731 126399879 139618167 182577603 189040527 418854501 547732809 791169613 1256563503 1643198427 2373508839 7120526517 21361579551