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22662552355456 = 271335946381937
BaseRepresentation
bin1010010011100100010010…
…11000100000001010000000
32222020112000020110022022211
411021302021120200022000
510432300401400333311
6120111011031311504
74526213113436146
oct511621130401200
988215006408284
1022662552355456
117248152aa1952
1226601a2b1b594
13c850b9963490
14584c32803596
15294789552821
hex149c89620280

22662552355456 has 128 divisors (see below), whose sum is σ = 48862316966400. Its totient is φ = 10407848951808.

The previous prime is 22662552355447. The next prime is 22662552355543. The reversal of 22662552355456 is 65455325526622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 22662552355456.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276544120 + ... + 276626056.

It is an arithmetic number, because the mean of its divisors is an integer number (381736851300).

Almost surely, 222662552355456 is an apocalyptic number.

22662552355456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22662552355456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24431158483200).

22662552355456 is an abundant number, since it is smaller than the sum of its proper divisors (26199764610944).

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

22662552355456 is a wasteful number, since it uses less digits than its factorization.

22662552355456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82786 (or 82774 counting only the distinct ones).

The product of its digits is 129600000, while the sum is 58.

The spelling of 22662552355456 in words is "twenty-two trillion, six hundred sixty-two billion, five hundred fifty-two million, three hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 359 416 463 718 832 926 1436 1664 1852 2872 3704 4667 5744 6019 7408 9334 11488 12038 14816 18668 22976 24076 29632 37336 45952 48152 59264 74672 81937 96304 149344 163874 166217 192608 298688 327748 332434 385216 597376 655496 664868 770432 1065181 1310992 1329736 2130362 2160821 2621984 2659472 4260724 4321642 5243968 5318944 8521448 8643284 10487936 10637888 17042896 17286568 21275776 29415383 34085792 34573136 37936831 58830766 68171584 69146272 75873662 117661532 136343168 138292544 151747324 235323064 276585088 303494648 382399979 470646128 493178803 606989296 764799958 941292256 986357606 1213978592 1529599916 1882584512 1972715212 2427957184 3059199832 3765169024 3945430424 4855914368 6118399664 7890860848 12236799328 13619322329 15781721696 24473598656 27238644658 31563443392 48947197312 54477289316 63126886784 108954578632 177051190277 217909157264 354102380554 435818314528 708204761108 871636629056 1416409522216 1743273258112 2832819044432 5665638088864 11331276177728 22662552355456