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21361742676 = 22327348716691
BaseRepresentation
bin10011111001010000…
…100101001101010100
32001010201212222000200
4103321100211031110
5322222101231201
613451412140500
71354235550111
oct237120451524
961121788020
1021361742676
11907216849a
124182007730
13202584cb31
1410690b9908
158505a5386
hex4f9425354

21361742676 has 72 divisors (see below), whose sum is σ = 54853116864. Its totient is φ = 7008197760.

The previous prime is 21361742657. The next prime is 21361742681. The reversal of 21361742676 is 67624716312.

21361742676 is a `hidden beast` number, since 2 + 1 + 3 + 617 + 4 + 26 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1271491 + ... + 1288181.

Almost surely, 221361742676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21361742676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27426558432).

21361742676 is an abundant number, since it is smaller than the sum of its proper divisors (33491374188).

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

21361742676 is a wasteful number, since it uses less digits than its factorization.

21361742676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17261 (or 17256 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 21361742676 in words is "twenty-one billion, three hundred sixty-one million, seven hundred forty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 487 657 876 974 1314 1461 1948 2628 2922 4383 5844 8766 16691 17532 33382 35551 50073 66764 71102 100146 106653 142204 150219 200292 213306 300438 319959 426612 600876 639918 1218443 1279836 2436886 3655329 4873772 7310658 8128517 10965987 14621316 16257034 21931974 24385551 32514068 43863948 48771102 73156653 97542204 146313306 292626612 593381741 1186763482 1780145223 2373526964 3560290446 5340435669 7120580892 10680871338 21361742676