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3486465573045 = 3571321910340839
BaseRepresentation
bin110010101111000001100…
…010101100000010110101
3110100022011210001212021020
4302233001202230002311
5424110240141314140
611225354333011353
7506613603254640
oct62570142540265
913308153055236
103486465573045
111124668a18954
1248384a323b59
131c3a0695bc00
14c0a627d6a57
1560a5705b6d0
hex32bc18ac0b5

3486465573045 has 96 divisors (see below), whose sum is σ = 7266715084800. Its totient is φ = 1393779508992.

The previous prime is 3486465573023. The next prime is 3486465573047. The reversal of 3486465573045 is 5403755646843.

It is a happy number.

It is not a de Polignac number, because 3486465573045 - 28 = 3486465572789 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3486465573045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486465573047) 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 95 ways as a sum of consecutive naturals, for example, 4833265 + ... + 5507574.

It is an arithmetic number, because the mean of its divisors is an integer number (75694948800).

Almost surely, 23486465573045 is an apocalyptic number.

3486465573045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3486465573045 is an abundant number, since it is smaller than the sum of its proper divisors (3780249511755).

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

3486465573045 is a wasteful number, since it uses less digits than its factorization.

3486465573045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10340899 (or 10340886 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 60.

The spelling of 3486465573045 in words is "three trillion, four hundred eighty-six billion, four hundred sixty-five million, five hundred seventy-three thousand, forty-five".

Divisors: 1 3 5 7 13 15 19 21 35 39 57 65 91 95 105 133 169 195 247 273 285 399 455 507 665 741 845 1183 1235 1365 1729 1995 2535 3211 3549 3705 5187 5915 8645 9633 16055 17745 22477 25935 48165 67431 112385 337155 10340839 31022517 51704195 72385873 134430907 155112585 196475941 217157619 361929365 403292721 589427823 672154535 941016349 982379705 1085788095 1375331587 1747601791 2016463605 2554187233 2823049047 2947139115 4125994761 4705081745 5242805373 6876657935 7662561699 8738008955 12233212537 12770936165 14115245235 17879310631 20629973805 26214026865 33204434029 36699637611 38312808495 53637931893 61166062685 89396553155 99613302087 166022170145 183498188055 232431038203 268189659465 498066510435 697293114609 1162155191015 3486465573045