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690038362344576 = 2737298852093113
BaseRepresentation
bin1001110011100101100001001…
…1011110000000110010000000
310100111020000121220111110202110
42130321120103132000302000
51210421042031230011301
610443331125240215320
7265226424613434240
oct23471302336006200
93314200556443673
10690038362344576
1118a95a69830a403
126548608346a540
13238054524bb51b
14c25806bc25b20
1554b97348950d6
hex2739613780c80

690038362344576 has 128 divisors (see below), whose sum is σ = 2166992394307200. Its totient is φ = 190355410280448.

The previous prime is 690038362344563. The next prime is 690038362344613. The reversal of 690038362344576 is 675443263830096.

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

It is a super-2 number, since 2×6900383623445762 (a number of 30 digits) contains 22 as substring.

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, 4425968605 + ... + 4426124508.

It is an arithmetic number, because the mean of its divisors is an integer number (16929628080525).

Almost surely, 2690038362344576 is an apocalyptic number.

It is an amenable number.

690038362344576 is an abundant number, since it is smaller than the sum of its proper divisors (1476954031962624).

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

690038362344576 is a wasteful number, since it uses less digits than its factorization.

690038362344576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852093166 (or 8852093154 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 66.

The spelling of 690038362344576 in words is "six hundred ninety trillion, thirty-eight billion, three hundred sixty-two million, three hundred forty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 609 672 696 812 896 928 1218 1344 1392 1624 1856 2436 2688 2784 3248 3712 4872 5568 6496 9744 11136 12992 19488 25984 38976 77952 8852093113 17704186226 26556279339 35408372452 53112558678 61964651791 70816744904 106225117356 123929303582 141633489808 185893955373 212450234712 247858607164 256710700277 283266979616 371787910746 424900469424 495717214328 513421400554 566533959232 743575821492 770132100831 849800938848 991434428656 1026842801108 1133067918464 1487151642984 1540264201662 1699601877696 1796974901939 1982868857312 2053685602216 2974303285968 3080528403324 3399203755392 3593949803878 3965737714624 4107371204432 5390924705817 5948606571936 6161056806648 7187899607756 7931475429248 8214742408864 10781849411634 11897213143872 12322113613296 14375799215512 16429484817728 21563698823268 23794426287744 24644227226592 28751598431024 32858969635456 43127397646536 49288454453184 57503196862048 86254795293072 98576908906368 115006393724096 172509590586144 230012787448192 345019181172288 690038362344576