Search a number
-
+
3290820280923 = 3719311132354459
BaseRepresentation
bin101111111000110100001…
…011001000001001011011
3102122121011220221020221210
4233320310023020021123
5412404044442442143
610555440523234203
7456516410600160
oct57706413101133
912577156836853
103290820280923
1110596a129118a
12451949078963
131ab4278a5476
14b53c2c00067
155a906076033
hex2fe342c825b

3290820280923 has 64 divisors (see below), whose sum is σ = 5497004851200. Its totient is φ = 1708771438080.

The previous prime is 3290820280921. The next prime is 3290820281009.

3290820280923 is nontrivially palindromic in base 10.

3290820280923 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3290820280923 - 21 = 3290820280921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3290820280921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220468 + ... + 2574926.

It is an arithmetic number, because the mean of its divisors is an integer number (85890700800).

Almost surely, 23290820280923 is an apocalyptic number.

3290820280923 is a deficient number, since it is larger than the sum of its proper divisors (2206184570277).

3290820280923 is a wasteful number, since it uses less digits than its factorization.

3290820280923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354632.

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 3290820280923 in words is "three trillion, two hundred ninety billion, eight hundred twenty million, two hundred eighty thousand, nine hundred twenty-three".

Divisors: 1 3 7 19 21 31 57 93 113 133 217 339 399 589 651 791 1767 2147 2373 3503 4123 6441 10509 12369 15029 24521 45087 66557 73563 199671 465899 1397697 2354459 7063377 16481213 44734721 49443639 72988229 134204163 218964687 266053867 313143047 510917603 798161601 939429141 1386776351 1532752809 1862377069 4160329053 5055023473 5587131207 8247669877 9707434457 15165070419 24743009631 29122303371 35385164311 57733689139 106155492933 156705727663 173201067417 470117182989 1096940093641 3290820280923