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22012106646432 = 2537123126609351
BaseRepresentation
bin1010000000101000101111…
…10011000010001110100000
32212221100002120002201101010
411000110113303002032200
510341121243300141212
6114452115554340520
74431215344230150
oct500242763021640
985840076081333
1022012106646432
117017311390541
122576115b8a740
13c3896ab0c706
1456156a96a760
152828bab4d03c
hex140517cc23a0

22012106646432 has 96 divisors (see below), whose sum is σ = 66089966874624. Its totient is φ = 6284064096000.

The previous prime is 22012106646401. The next prime is 22012106646437. The reversal of 22012106646432 is 23464660121022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (22012106646437) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12477444 + ... + 14131907.

It is an arithmetic number, because the mean of its divisors is an integer number (688437154944).

Almost surely, 222012106646432 is an apocalyptic number.

It is an amenable number.

22012106646432 is an abundant number, since it is smaller than the sum of its proper divisors (44077860228192).

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

22012106646432 is a wasteful number, since it uses less digits than its factorization.

22012106646432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26610602 (or 26610594 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

Adding to 22012106646432 its reverse (23464660121022), we get a palindrome (45476766767454).

The spelling of 22012106646432 in words is "twenty-two trillion, twelve billion, one hundred six million, six hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1231 2462 3693 4924 7386 8617 9848 14772 17234 19696 25851 29544 34468 39392 51702 59088 68936 103404 118176 137872 206808 275744 413616 827232 26609351 53218702 79828053 106437404 159656106 186265457 212874808 319312212 372530914 425749616 558796371 638624424 745061828 851499232 1117592742 1277248848 1490123656 2235185484 2554497696 2980247312 4470370968 5960494624 8940741936 17881483872 32756111081 65512222162 98268333243 131024444324 196536666486 229292777567 262048888648 393073332972 458585555134 524097777296 687878332701 786146665944 917171110268 1048195554592 1375756665402 1572293331888 1834342220536 2751513330804 3144586663776 3668684441072 5503026661608 7337368882144 11006053323216 22012106646432