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21274412742 = 23211532239091
BaseRepresentation
bin10011110100000011…
…011100011011000110
32000220122120010212200
4103310003130123012
5322032222201432
613435012255330
71352125344642
oct236403343306
960818503780
1021274412742
1190279401a0
124158911546
13201072430b
14105b665c22
15847aa4a7c
hex4f40dc6c6

21274412742 has 96 divisors (see below), whose sum is σ = 51469157376. Its totient is φ = 6296097600.

The previous prime is 21274412729. The next prime is 21274412759. The reversal of 21274412742 is 24721447212.

It is a junction number, because it is equal to n+sod(n) for n = 21274412697 and 21274412706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2335617 + ... + 2344707.

It is an arithmetic number, because the mean of its divisors is an integer number (536137056).

Almost surely, 221274412742 is an apocalyptic number.

21274412742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21274412742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25734578688).

21274412742 is an abundant number, since it is smaller than the sum of its proper divisors (30194744634).

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

21274412742 is a wasteful number, since it uses less digits than its factorization.

21274412742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9386 (or 9383 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

Adding to 21274412742 its reverse (24721447212), we get a palindrome (45995859954).

The spelling of 21274412742 in words is "twenty-one billion, two hundred seventy-four million, four hundred twelve thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 223 318 446 477 583 669 954 1166 1338 1749 2007 2453 3498 4014 4906 5247 7359 9091 10494 11819 14718 18182 22077 23638 27273 35457 44154 54546 70914 81819 100001 106371 130009 163638 200002 212742 260018 300003 390027 481823 600006 780054 900009 963646 1170081 1445469 1800018 2027293 2340162 2890938 4054586 4336407 5300053 6081879 8672814 10600106 12163758 15900159 18245637 22300223 31800318 36491274 44600446 47700477 66900669 95400954 107446529 133801338 200702007 214893058 322339587 401404014 644679174 967018761 1181911819 1934037522 2363823638 3545735457 7091470914 10637206371 21274412742