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3274521870096 = 24321507972
BaseRepresentation
bin101111101001101000101…
…101100111111100010000
3102121001010001121012110100
4233221220231213330100
5412122210044320341
610544143343532400
7455401463436351
oct57515055477420
912531101535410
103274521870096
111052798257974
1244a75a8ba100
131a9a2b0598a9
14b46b838dd28
155a2a02873b6
hex2fa68b67f10

3274521870096 has 45 divisors (see below), whose sum is σ = 9164174060821. Its totient is φ = 1091500051776.

The previous prime is 3274521870079. The next prime is 3274521870127. The reversal of 3274521870096 is 6900781254723.

It is a happy number.

The square root of 3274521870096 is 1809564.

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

3274521870096 is a `hidden beast` number, since 3 + 2 + 7 + 452 + 187 + 0 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 549169923600 + 2725351946496 = 741060^2 + 1650864^2 .

It is a super-3 number, since 3×32745218700963 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 21639370 + ... + 21790166.

It is a 1-persistent number, because it is pandigital, but 2⋅3274521870096 = 6549043740192 is not.

Almost surely, 23274521870096 is an apocalyptic number.

3274521870096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3274521870096 is the 1809564-th square number.

It is an amenable number.

3274521870096 is an abundant number, since it is smaller than the sum of its proper divisors (5889652190725).

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

3274521870096 is an frugal number, since it uses more digits than its factorization.

3274521870096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301608 (or 150802 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3274521870096 in words is "three trillion, two hundred seventy-four billion, five hundred twenty-one million, eight hundred seventy thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 150797 301594 452391 603188 904782 1206376 1357173 1809564 2412752 2714346 3619128 5428692 7238256 10857384 21714768 22739735209 45479470418 68219205627 90958940836 136438411254 181917881672 204657616881 272876822508 363835763344 409315233762 545753645016 818630467524 1091507290032 1637260935048 3274521870096