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21354661010364 = 2231110912011235803
BaseRepresentation
bin1001101101100000001001…
…11110111101101110111100
32210121111010001010222201020
410312300010332331232330
510244333321204312424
6113230110144544140
74332552256434453
oct466600476755674
983544101128636
1021354661010364
116893508475360
12248a814922050
13bbb9749a9c96
1453b7dd195b9a
1527073c946079
hex136c04fbdbbc

21354661010364 has 96 divisors (see below), whose sum is σ = 54901729639680. Its totient is φ = 6406397568000.

The previous prime is 21354661010351. The next prime is 21354661010369. The reversal of 21354661010364 is 46301016645312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21354661010369) 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, 16662087 + ... + 17897889.

It is an arithmetic number, because the mean of its divisors is an integer number (571893017080).

Almost surely, 221354661010364 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 21354661010364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27450864819840).

21354661010364 is an abundant number, since it is smaller than the sum of its proper divisors (33547068629316).

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

21354661010364 is a wasteful number, since it uses less digits than its factorization.

21354661010364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237131 (or 1237129 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

Adding to 21354661010364 its reverse (46301016645312), we get a palindrome (67655677655676).

The spelling of 21354661010364 in words is "twenty-one trillion, three hundred fifty-four billion, six hundred sixty-one million, ten thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 1199 1201 1308 2398 2402 3597 3603 4796 4804 7194 7206 13211 14388 14412 26422 39633 52844 79266 130909 158532 261818 392727 523636 785454 1235803 1439999 1570908 2471606 2879998 3707409 4319997 4943212 5759996 7414818 8639994 13593833 14829636 17279988 27187666 40781499 54375332 81562998 134702527 163125996 269405054 404107581 538810108 808215162 1481727797 1484199403 1616430324 2963455594 2968398806 4445183391 4452598209 5926911188 5936797612 8890366782 8905196418 16326193433 17780733564 17810392836 32652386866 48978580299 65304773732 97957160598 161777734927 195914321196 323555469854 485333204781 647110939708 970666409562 1779555084197 1941332819124 3559110168394 5338665252591 7118220336788 10677330505182 21354661010364