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90909082574673 = 31161283653244379
BaseRepresentation
bin10100101010111001101011…
…100100101101111101010001
3102220212211020021022221212020
4110222321223210231331101
543403423300114342143
6521203020032122053
725101651546045006
oct2452715344557521
9386784207287766
1090909082574673
1126a6a364133810
12a242957996329
133b958c737907c
1418640474578ad
15a79b49446883
hex52ae6b92df51

90909082574673 has 64 divisors (see below), whose sum is σ = 135081127111680. Its totient is φ = 53918779910400.

The previous prime is 90909082574671. The next prime is 90909082574711. The reversal of 90909082574673 is 37647528090909.

It is not a de Polignac number, because 90909082574673 - 21 = 90909082574671 is a prime.

It is a super-2 number, since 2×909090825746732 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90909082574598 and 90909082574607.

It is not an unprimeable number, because it can be changed into a prime (90909082574671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371878198 + ... + 372122576.

It is an arithmetic number, because the mean of its divisors is an integer number (2110642611120).

Almost surely, 290909082574673 is an apocalyptic number.

It is an amenable number.

90909082574673 is a deficient number, since it is larger than the sum of its proper divisors (44172044537007).

90909082574673 is a wasteful number, since it uses less digits than its factorization.

90909082574673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245390.

The product of its (nonzero) digits is 205752960, while the sum is 69.

The spelling of 90909082574673 in words is "ninety trillion, nine hundred nine billion, eighty-two million, five hundred seventy-four thousand, six hundred seventy-three".

Divisors: 1 3 11 33 61 183 283 653 671 849 1959 2013 3113 7183 9339 17263 21549 39833 51789 119499 184799 189893 244379 438163 554397 569679 733137 1314489 2032789 2688169 6098367 8064507 11272739 14907119 33818217 44721357 69159257 124000129 159579487 163978309 207477771 372000387 478738461 491934927 760751827 1755374357 2282255481 4218714677 5266123071 9734348707 12656144031 29203046121 45160994821 46405861447 107077835777 135482984463 139217584341 321233507331 496770943031 1490312829093 2754820684081 8264462052243 30303027524891 90909082574673