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10639722851456 = 27319735717741
BaseRepresentation
bin1001101011010100000011…
…1001101010110010000000
31101200010222120122020111012
42122311000321222302000
52343310123022221311
634343453213540052
72145460152020006
oct232650071526200
941603876566435
1010639722851456
113432310199876
12123a0717a4628
135c242460b75a
1428ad72c38a76
15136b6c29e78b
hex9ad40e6ac80

10639722851456 has 128 divisors (see below), whose sum is σ = 22114689784320. Its totient is φ = 5093093376000.

The previous prime is 10639722851447. The next prime is 10639722851467. The reversal of 10639722851456 is 65415822793601.

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

It is a super-2 number, since 2×106397228514562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10639722851395 and 10639722851404.

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, 1374459746 + ... + 1374467486.

It is an arithmetic number, because the mean of its divisors is an integer number (172771013940).

It is a 1-persistent number, because it is pandigital, but 2⋅10639722851456 = 21279445702912 is not.

Almost surely, 210639722851456 is an apocalyptic number.

10639722851456 is a gapful number since it is divisible by the number (16) 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 10639722851456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11057344892160).

10639722851456 is an abundant number, since it is smaller than the sum of its proper divisors (11474966932864).

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

10639722851456 is an equidigital number, since it uses as much as digits as its factorization.

10639722851456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11454 (or 11442 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 59.

The spelling of 10639722851456 in words is "ten trillion, six hundred thirty-nine billion, seven hundred twenty-two million, eight hundred fifty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 97 124 128 194 248 388 496 776 992 1552 1984 3007 3104 3571 3968 6014 6208 7142 7741 12028 12416 14284 15482 24056 28568 30964 48112 57136 61928 96224 110701 114272 123856 192448 221402 228544 239971 247712 346387 384896 442804 457088 479942 495424 692774 750877 885608 959884 990848 1385548 1501754 1771216 1919768 2771096 3003508 3542432 3839536 5542192 6007016 7084864 7679072 10737997 11084384 12014032 14169728 15358144 21475994 22168768 23277187 24028064 27643111 30716288 42951988 44337536 46554374 48056128 55286222 85903976 93108748 96112256 110572444 171807952 186217496 221144888 343615904 372434992 442289776 687231808 744869984 856936441 884579552 1374463616 1489739968 1713872882 1769159104 2681381767 2979479936 3427745764 3538318208 5362763534 6855491528 10725527068 13710983056 21451054136 27421966112 42902108272 54843932224 83122834777 85804216544 109687864448 166245669554 171608433088 332491339108 343216866176 664982678216 1329965356432 2659930712864 5319861425728 10639722851456