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22968633954816 = 293211453137507
BaseRepresentation
bin1010011100011110011010…
…10001001001001000000000
310000022210001120222121000200
411032033031101021020000
511002304230243023231
6120503351134245200
74560300106214064
oct516171521111000
9100283046877020
1022968633954816
117355a41092820
1226ab585056800
13ca7c1872b194
1459598b515aa4
1529c700ab6be6
hex14e3cd449200

22968633954816 has 120 divisors (see below), whose sum is σ = 72315308626704. Its totient is φ = 6960192092160.

The previous prime is 22968633954767. The next prime is 22968633954913. The reversal of 22968633954816 is 61845933686922.

22968633954816 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 8 + 63 + 3 + 9 + 548 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 11 ways as a sum of consecutive naturals, for example, 226518066 + ... + 226619441.

Almost surely, 222968633954816 is an apocalyptic number.

It is an amenable number.

22968633954816 is an abundant number, since it is smaller than the sum of its proper divisors (49346674671888).

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

22968633954816 is a wasteful number, since it uses less digits than its factorization.

22968633954816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453137542 (or 453137523 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 22968633954816 in words is "twenty-two trillion, nine hundred sixty-eight billion, six hundred thirty-three million, nine hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 12672 16896 25344 50688 453137507 906275014 1359412521 1812550028 2718825042 3625100056 4078237563 4984512577 5437650084 7250200112 8156475126 9969025154 10875300168 14500400224 14953537731 16312950252 19938050308 21750600336 29000800448 29907075462 32625900504 39876100616 43501200672 44860613193 58001600896 59814150924 65251801008 79752201232 87002401344 89721226386 116003201792 119628301848 130503602016 159504402464 174004802688 179442452772 232006403584 239256603696 261007204032 319008804928 348009605376 358884905544 478513207392 522014408064 638017609856 696019210752 717769811088 957026414784 1044028816128 1276035219712 1435539622176 1914052829568 2088057632256 2552070439424 2871079244352 3828105659136 5742158488704 7656211318272 11484316977408 22968633954816