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21332044023312 = 2431171569036599
BaseRepresentation
bin1001101100110110000001…
…11010000000011000010000
32210112022201211022000010010
410312123000322000120100
510244001011232221222
6113211450012234520
74331121636266631
oct466330072003020
983468654260103
1021332044023312
1168849617a9220
12248636246ba40
13bb97ac0924c9
1453a6954c9888
1526ed6709180c
hex1366c0e80610

21332044023312 has 80 divisors (see below), whose sum is σ = 60964305177600. Its totient is φ = 6373209897600.

The previous prime is 21332044023239. The next prime is 21332044023317.

It is a happy number.

21332044023312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213320440233122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21332044023312.

It is not an unprimeable number, because it can be changed into a prime (21332044023317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284480812 + ... + 284555787.

It is an arithmetic number, because the mean of its divisors is an integer number (762053814720).

Almost surely, 221332044023312 is an apocalyptic number.

21332044023312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21332044023312 is an abundant number, since it is smaller than the sum of its proper divisors (39632261154288).

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

21332044023312 is a wasteful number, since it uses less digits than its factorization.

21332044023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569036692 (or 569036686 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2133204 and 4023312, that added together give a palindrome (6156516).

The spelling of 21332044023312 in words is "twenty-one trillion, three hundred thirty-two billion, forty-four million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 426 528 568 781 852 1136 1562 1704 2343 3124 3408 4686 6248 9372 12496 18744 37488 569036599 1138073198 1707109797 2276146396 3414219594 4552292792 6259402589 6828439188 9104585584 12518805178 13656878376 18778207767 25037610356 27313756752 37556415534 40401598529 50075220712 75112831068 80803197058 100150441424 121204795587 150225662136 161606394116 242409591174 300451324272 323212788232 444417583819 484819182348 646425576464 888835167638 969638364696 1333252751457 1777670335276 1939276729392 2666505502914 3555340670552 5333011005828 7110681341104 10666022011656 21332044023312