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3689926200369 = 364132712
BaseRepresentation
bin110101101100100000101…
…111011000110000110001
3111001202100022010122000000
4311230200233120300301
5440423432101402434
611503043444220213
7530405545125303
oct65544057306061
914052308118000
103689926200369
1111a2986164632
124b717099a669
13209c5cc10556
14ca844347973
1565eb4211b99
hex35b20bd8c31

3689926200369 has 84 divisors (see below), whose sum is σ = 5691667620996. Its totient is φ = 2391096088800.

The previous prime is 3689926200353. The next prime is 3689926200427. The reversal of 3689926200369 is 9630026299863.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3689926200369 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 9 + 262 + 0 + 0 + 369 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 708046517025 + 2981879683344 = 841455^2 + 1726812^2 .

It is not a de Polignac number, because 3689926200369 - 24 = 3689926200353 is a prime.

It is a super-2 number, since 2×36899262003692 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689926200349) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13615963704 + ... + 13615963974.

It is an arithmetic number, because the mean of its divisors is an integer number (67757947869).

Almost surely, 23689926200369 is an apocalyptic number.

It is an amenable number.

3689926200369 is a deficient number, since it is larger than the sum of its proper divisors (2001741420627).

3689926200369 is an frugal number, since it uses more digits than its factorization.

3689926200369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 3689926200369 in words is "three trillion, six hundred eighty-nine billion, nine hundred twenty-six million, two hundred thousand, three hundred sixty-nine".

Divisors: 1 3 9 27 41 81 123 243 271 369 729 813 1107 1681 2439 3321 5043 7317 9963 11111 15129 21951 29889 33333 45387 65853 68921 73441 99999 136161 197559 206763 220323 299997 408483 455551 620289 660969 899991 1225449 1366653 1860867 1982907 2699973 3011081 4099959 5582601 5948721 8099919 9033243 12299877 16747803 17846163 18677591 27099729 36899631 50243409 53538489 56032773 81299187 110698893 123454321 168098319 243897561 332096679 370362963 504294957 731692683 1111088889 1512884871 2195078049 3333266667 4538654613 5061627161 9999800001 13615963839 15184881483 29999400003 45554644449 89998200009 136663933347 409991800041 1229975400123 3689926200369