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675619885521 = 367243492
BaseRepresentation
bin10011101010011100001…
…01010101000111010001
32101120220010000021000000
421311032011111013101
542032132142314041
61234213034520213
766545330162400
oct11651605250721
92346803007000
10675619885521
1124058a8a2859
12aab33896069
134b9314a25b9
14249b33dd637
1512893a2ebb6
hex9d4e1551d1

675619885521 has 63 divisors (see below), whose sum is σ = 1178619725451. Its totient is φ = 385979734224.

The previous prime is 675619885487. The next prime is 675619885529. The reversal of 675619885521 is 125588916576.

The square root of 675619885521 is 821961.

It is a perfect power (a square), and thus also a powerful number.

675619885521 is a `hidden beast` number, since 6 + 7 + 5 + 619 + 8 + 8 + 5 + 5 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15138595521 + 660481290000 = 123039^2 + 812700^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 675619885521 - 27 = 675619885393 is a prime.

It is a super-2 number, since 2×6756198855212 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (675619885529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 155348455 + ... + 155352803.

Almost surely, 2675619885521 is an apocalyptic number.

675619885521 is the 821961-st square number.

675619885521 is the 410981-st centered octagonal number.

It is an amenable number.

675619885521 is a deficient number, since it is larger than the sum of its proper divisors (502999839930).

675619885521 is an frugal number, since it uses more digits than its factorization.

675619885521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8730 (or 4359 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 63.

The spelling of 675619885521 in words is "six hundred seventy-five billion, six hundred nineteen million, eight hundred eighty-five thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3969 4349 5103 11907 13047 30443 35721 39141 91329 117423 213101 273987 352269 639303 821961 1056807 1917909 2465883 3170421 5753727 7397649 17261181 18913801 22192947 51783543 56741403 132396607 155350629 170224209 397189821 510672627 926776249 1191569463 1532017881 2780328747 3574708389 4596053643 8340986241 10724125167 13788160929 25022958723 32172375501 75068876169 96517126503 225206628507 675619885521