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21159918612 = 223271933371291
BaseRepresentation
bin10011101101001110…
…101011110000010100
32000121200010020110100
4103231032223300110
5321313414343422
613415402254100
71346235224550
oct235516536024
960550106410
1021159918612
118a7924a048
1241264b7330
131cc2aa7501
14104a380860
1583c9da7ac
hex4ed3abc14

21159918612 has 144 divisors (see below), whose sum is σ = 61675449472. Its totient is φ = 5991874560.

The previous prime is 21159918607. The next prime is 21159918667. The reversal of 21159918612 is 21681995112.

21159918612 is a `hidden beast` number, since 2 + 1 + 15 + 9 + 9 + 18 + 612 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16389687 + ... + 16390977.

Almost surely, 221159918612 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 21159918612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30837724736).

21159918612 is an abundant number, since it is smaller than the sum of its proper divisors (40515530860).

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

21159918612 is a wasteful number, since it uses less digits than its factorization.

21159918612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1833 counting only the distinct ones).

The product of its digits is 77760, while the sum is 45.

The spelling of 21159918612 in words is "twenty-one billion, one hundred fifty-nine million, nine hundred eighteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 193 252 337 386 579 674 772 1011 1158 1291 1348 1351 1737 2022 2316 2359 2582 2702 3033 3474 3873 4044 4053 4718 5164 5404 6066 6948 7077 7746 8106 9037 9436 11619 12132 12159 14154 15492 16212 18074 21231 23238 24318 27111 28308 36148 42462 46476 48636 54222 65041 81333 84924 108444 130082 162666 195123 249163 260164 325332 390246 435067 455287 498326 585369 747489 780492 870134 910574 996652 1170738 1305201 1365861 1494978 1740268 1744141 1821148 2242467 2341476 2610402 2731722 2989956 3045469 3488282 3915603 4097583 4484934 5220804 5232423 5463444 6090938 6976564 7831206 8195166 8969868 9136407 10464846 12181876 15662412 15697269 16390332 18272814 20929692 27409221 31394538 36545628 54818442 62789076 83967931 109636884 167935862 251903793 335871724 503807586 587775517 755711379 1007615172 1175551034 1511422758 1763326551 2351102068 3022845516 3526653102 5289979653 7053306204 10579959306 21159918612