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3689853428664 = 23321310139031199
BaseRepresentation
bin110101101100011100011…
…001110010001110111000
3111001202011020012102222200
4311230130121302032320
5440423304434204124
611503032324350200
7530404002436014
oct65543431621670
914052136172880
103689853428664
1111a2949080127
124b7150545360
13209c4ab11280
14ca838803544
1565eacb39bc9
hex35b1c6723b8

3689853428664 has 96 divisors (see below), whose sum is σ = 10868627952000. Its totient is φ = 1124098502400.

The previous prime is 3689853428663. The next prime is 3689853428669. The reversal of 3689853428664 is 4668243589863.

3689853428664 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 8 + 534 + 2 + 86 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3689853428592 and 3689853428601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689853428663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19421064 + ... + 19610135.

It is an arithmetic number, because the mean of its divisors is an integer number (113214874500).

Almost surely, 23689853428664 is an apocalyptic number.

It is an amenable number.

3689853428664 is an abundant number, since it is smaller than the sum of its proper divisors (7178774523336).

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

3689853428664 is a wasteful number, since it uses less digits than its factorization.

3689853428664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39031325 (or 39031318 counting only the distinct ones).

The product of its digits is 1433272320, while the sum is 72.

The spelling of 3689853428664 in words is "three trillion, six hundred eighty-nine billion, eight hundred fifty-three million, four hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 101 104 117 156 202 234 303 312 404 468 606 808 909 936 1212 1313 1818 2424 2626 3636 3939 5252 7272 7878 10504 11817 15756 23634 31512 47268 94536 39031199 78062398 117093597 156124796 234187194 312249592 351280791 468374388 507405587 702561582 936748776 1014811174 1405123164 1522216761 2029622348 2810246328 3044433522 3942151099 4059244696 4566650283 6088867044 7884302198 9133300566 11826453297 12177734088 15768604396 18266601132 23652906594 31537208792 35479359891 36533202264 47305813188 51247964287 70958719782 94611626376 102495928574 141917439564 153743892861 204991857148 283834879128 307487785722 409983714296 461231678583 614975571444 922463357166 1229951142888 1844926714332 3689853428664