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22064233664544 = 2536431016335171
BaseRepresentation
bin1010000010001001110101…
…10011110101000000100000
32220010022122101021121022120
411001010322303311000200
510343000022304231134
6114532100301304240
74435042164455661
oct501047263650040
986108571247276
1022064233664544
1170374307657a5
122584243265080
13c40857439c26
14563cb397b368
15283e1c0e5649
hex14113acf5020

22064233664544 has 96 divisors (see below), whose sum is σ = 58016046299904. Its totient is φ = 7342375061760.

The previous prime is 22064233664509. The next prime is 22064233664567. The reversal of 22064233664544 is 44546633246022.

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

It is a super-2 number, since 2×220642336645442 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 627324079 + ... + 627359249.

It is an arithmetic number, because the mean of its divisors is an integer number (604333815624).

Almost surely, 222064233664544 is an apocalyptic number.

22064233664544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22064233664544 is an abundant number, since it is smaller than the sum of its proper divisors (35951812635360).

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

22064233664544 is a wasteful number, since it uses less digits than its factorization.

22064233664544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45990 (or 45982 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 51.

The spelling of 22064233664544 in words is "twenty-two trillion, sixty-four billion, two hundred thirty-three million, six hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 643 1286 1929 2572 3858 5144 7716 10163 10288 15432 20326 20576 30489 30864 35171 40652 60978 61728 70342 81304 105513 121956 140684 162608 211026 243912 281368 325216 422052 487824 562736 844104 975648 1125472 1688208 3376416 6534809 13069618 19604427 22614953 26139236 39208854 45229906 52278472 67844859 78417708 90459812 104556944 135689718 156835416 180919624 209113888 271379436 313670832 357442873 361839248 542758872 627341664 714885746 723678496 1072328619 1085517744 1429771492 2144657238 2171035488 2859542984 4289314476 5719085968 8578628952 11438171936 17157257904 34314515808 229835767339 459671534678 689507302017 919343069356 1379014604034 1838686138712 2758029208068 3677372277424 5516058416136 7354744554848 11032116832272 22064233664544