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21347595974568 = 2331931131147621
BaseRepresentation
bin1001101101010010111111…
…10111111111011110101000
32210120210212200000222120210
410312221133313333132220
510244224334032141233
6113222541124421120
74332212220555453
oct466513767773650
983523780028523
1021347595974568
1168905124403a6
1224893828477a0
13bbb0ba082c26
1453b32cb4a49a
15270477582163
hex136a5fdff7a8

21347595974568 has 128 divisors (see below), whose sum is σ = 56832077635200. Its totient is φ = 6681682344960.

The previous prime is 21347595974563. The next prime is 21347595974609. The reversal of 21347595974568 is 86547959574312.

It is a self number, because there is not a number n which added to its sum of digits gives 21347595974568.

It is not an unprimeable number, because it can be changed into a prime (21347595974563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18027798 + ... + 19175418.

It is an arithmetic number, because the mean of its divisors is an integer number (444000606525).

Almost surely, 221347595974568 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 21347595974568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28416038817600).

21347595974568 is an abundant number, since it is smaller than the sum of its proper divisors (35484481660632).

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

21347595974568 is a wasteful number, since it uses less digits than its factorization.

21347595974568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147800 (or 1147758 counting only the distinct ones).

The product of its digits is 2286144000, while the sum is 75.

The spelling of 21347595974568 in words is "twenty-one trillion, three hundred forty-seven billion, five hundred ninety-five million, nine hundred seventy-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 113 114 152 226 228 339 361 452 456 678 722 904 1083 1356 1444 2147 2166 2712 2888 4294 4332 6441 6859 8588 8664 12882 13718 17176 20577 25764 27436 40793 41154 51528 54872 81586 82308 122379 163172 164616 244758 326344 489516 775067 979032 1147621 1550134 2295242 2325201 3100268 3442863 4590484 4650402 6200536 6885726 9180968 9300804 13771452 18601608 21804799 27542904 43609598 65414397 87219196 129681173 130828794 174438392 259362346 261657588 389043519 414291181 518724692 523315176 778087038 828582362 1037449384 1242873543 1556174076 1657164724 2463942287 2485747086 3112348152 3314329448 4927884574 4971494172 7391826861 7871532439 9855769148 9942988344 14783653722 15743064878 19711538296 23614597317 29567307444 31486129756 46814903453 47229194634 59134614888 62972259512 93629806906 94458389268 140444710359 187259613812 188916778536 280889420718 374519227624 561778841436 889483165607 1123557682872 1778966331214 2668449496821 3557932662428 5336898993642 7115865324856 10673797987284 21347595974568