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614222077952 = 2137212372
BaseRepresentation
bin10001111000000100111…
…11010010000000000000
32011201102012012110202002
420330002133102000000
540030411322443302
61150100354443132
762242665343100
oct10740237220000
92151365173662
10614222077952
1121754339422a
129b0598934a8
1345bc8283852
1421a2b049200
1510e9d71bc02
hex8f027d2000

614222077952 has 126 divisors (see below), whose sum is σ = 1430075330217. Its totient is φ = 263025229824.

The previous prime is 614222077943. The next prime is 614222077957. The reversal of 614222077952 is 259770222416.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 571197362176 + 43024715776 = 755776^2 + 207424^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=554176.

It is a super-2 number, since 2×6142220779522 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 614222077897 and 614222077906.

It is not an unprimeable number, because it can be changed into a prime (614222077957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 496541078 + ... + 496542314.

Almost surely, 2614222077952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 614222077952

614222077952 is an abundant number, since it is smaller than the sum of its proper divisors (815853252265).

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

614222077952 is an frugal number, since it uses more digits than its factorization.

614222077952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 614222077952 in words is "six hundred fourteen billion, two hundred twenty-two million, seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1237 1568 1792 2048 2474 3136 3584 4096 4948 6272 7168 8192 8659 9896 12544 14336 17318 19792 25088 28672 34636 39584 50176 57344 60613 69272 79168 100352 121226 138544 158336 200704 242452 277088 316672 401408 484904 554176 633344 969808 1108352 1266688 1530169 1939616 2216704 2533376 3060338 3879232 4433408 5066752 6120676 7758464 8866816 10133504 10711183 12241352 15516928 17733632 21422366 24482704 31033856 35467264 42844732 48965408 62067712 70934528 74978281 85689464 97930816 124135424 149956562 171378928 195861632 248270848 299913124 342757856 391723264 496541696 599826248 685515712 783446528 1199652496 1371031424 1566893056 2399304992 2742062848 3133786112 4798609984 5484125696 6267572224 9597219968 10968251392 12535144448 19194439936 21936502784 38388879872 43873005568 76777759744 87746011136 153555519488 307111038976 614222077952