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21433511255104 = 2613177971901353
BaseRepresentation
bin1001101111110011000001…
…10100110001110001000000
32210220000122020210110000001
410313321200310301301000
510302131312340130404
6113330230311205344
74341343250445064
oct467714064616100
983800566713001
1021433511255104
1169139a0373283
1224a1b5b676854
13bc622c860230
1454155d35daa4
152728050017a4
hex137e60d31c40

21433511255104 has 112 divisors (see below), whose sum is σ = 48559044865968. Its totient is φ = 9298797723648.

The previous prime is 21433511255059. The next prime is 21433511255113. The reversal of 21433511255104 is 40155211533412.

It can be written as a sum of positive squares in 8 ways, for example, as 947024815104 + 20486486440000 = 973152^2 + 4526200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10322092 + ... + 12223444.

It is an arithmetic number, because the mean of its divisors is an integer number (433562900589).

Almost surely, 221433511255104 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 21433511255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24279522432984).

21433511255104 is an abundant number, since it is smaller than the sum of its proper divisors (27125533610864).

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

21433511255104 is a wasteful number, since it uses less digits than its factorization.

21433511255104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902192 (or 1902182 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 21433511255104 its reverse (40155211533412), we get a palindrome (61588722788516).

The spelling of 21433511255104 in words is "twenty-one trillion, four hundred thirty-three billion, five hundred eleven million, two hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 797 832 884 1088 1594 1768 3188 3536 6376 7072 10361 12752 13549 14144 20722 25504 27098 41444 51008 54196 82888 108392 165776 176137 216784 331552 352274 433568 663104 704548 867136 1409096 1901353 2818192 3802706 5636384 7605412 11272768 15210824 24717589 30421648 32323001 49435178 60843296 64646002 98870356 121686592 129292004 197740712 258584008 395481424 420199013 517168016 790962848 840398026 1034336032 1515378341 1581925696 1680796052 2068672064 3030756682 3361592104 6061513364 6723184208 12123026728 13446368416 19699918433 24246053456 25761431797 26892736832 39399836866 48492106912 51522863594 78799673732 96984213824 103045727188 157599347464 206091454376 315198694928 334898613361 412182908752 630397389856 669797226722 824365817504 1260794779712 1339594453444 1648731635008 2679188906888 5358377813776 10716755627552 21433511255104