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3639010249161 = 32741926832
BaseRepresentation
bin110100111101000101111…
…010011100100111001001
3110212212220212210022112100
4310331011322130213021
5434110143110433121
611423423242504013
7523624031520000
oct64750572344711
913785825708470
103639010249161
111183328464911
124a9321205009
13205207480881
14c81b4107c37
15649d423e026
hex34f45e9c9c9

3639010249161 has 135 divisors (see below), whose sum is σ = 6481255941069. Its totient is φ = 1967106190896.

The previous prime is 3639010249087. The next prime is 3639010249169. The reversal of 3639010249161 is 1619420109363.

The square root of 3639010249161 is 1907619.

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

3639010249161 is a `hidden beast` number, since 3 + 6 + 3 + 90 + 10 + 2 + 491 + 61 = 666.

It is not a de Polignac number, because 3639010249161 - 27 = 3639010249033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3639010249169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5327979526 + ... + 5327980208.

Almost surely, 23639010249161 is an apocalyptic number.

3639010249161 is the 1907619-th square number.

3639010249161 is the 953810-th centered octagonal number.

It is an amenable number.

3639010249161 is a deficient number, since it is larger than the sum of its proper divisors (2842245691908).

3639010249161 is an frugal number, since it uses more digits than its factorization.

3639010249161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 3639010249161 in words is "three trillion, six hundred thirty-nine billion, ten million, two hundred forty-nine thousand, one hundred sixty-one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 343 361 399 441 683 931 1029 1083 1197 2049 2401 2527 2793 3087 3249 4781 6147 6517 7203 7581 8379 12977 14343 17689 19551 21609 22743 33467 38931 43029 45619 53067 58653 90839 100401 116793 123823 136857 159201 234269 246563 272517 301203 371469 410571 466489 635873 702807 739689 817551 866761 1114407 1399467 1639883 1725941 1907619 2108421 2219067 2600283 3265423 4198401 4451111 4919649 5177823 5722857 7800849 8863291 9796269 12081587 13353333 14758947 15533469 22857961 26589873 29388807 31157777 36244761 40059999 62043037 68573883 79769619 84571109 93473331 108734283 160005727 168402529 186129111 205721649 253713327 280419993 434301259 480017181 505207587 558387333 591997763 761139981 1120040089 1178817703 1302903777 1440051543 1515622761 1775993289 3040108813 3360120267 3536453109 3908711331 5327979867 8251723921 9120326439 10080360801 10609359327 21280761691 24755171763 27360979317 57762067447 63842285073 74265515289 173286202341 191526855219 404334472129 519858607023 1213003416387 3639010249161