Search a number
-
+
3828352145176 = 23131571034322669
BaseRepresentation
bin110111101101011011100…
…100011101011100011000
3111112222122102222012221201
4313231123210131130120
51000210431122121201
612050415400443544
7543406064213356
oct67553344353430
914488572865851
103828352145176
11124665aa87809
12519b634795b4
1321a020651a30
14d34168b67d6
15698b6b5b801
hex37b5b91d718

3828352145176 has 64 divisors (see below), whose sum is σ = 7780659566400. Its totient is φ = 1755430230528.

The previous prime is 3828352145147. The next prime is 3828352145197. The reversal of 3828352145176 is 6715412538283.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168869170 + ... + 168891838.

It is an arithmetic number, because the mean of its divisors is an integer number (121572805725).

Almost surely, 23828352145176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3828352145176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890329783200).

3828352145176 is an abundant number, since it is smaller than the sum of its proper divisors (3952307421224).

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

3828352145176 is a wasteful number, since it uses less digits than its factorization.

3828352145176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33188 (or 33184 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 55.

The spelling of 3828352145176 in words is "three trillion, eight hundred twenty-eight billion, three hundred fifty-two million, one hundred forty-five thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 26 52 104 157 314 628 1256 2041 4082 8164 10343 16328 20686 22669 41372 45338 82744 90676 134459 181352 268918 294697 537836 589394 1075672 1178788 1623851 2357576 3247702 3559033 6495404 7118066 12990808 14236132 21110063 28472264 42220126 46267429 84440252 92534858 168880504 185069716 234465467 370139432 468930934 937861868 1875723736 3048051071 6096102142 12192204284 24384408568 36811078319 73622156638 147244313276 294488626552 478544018147 957088036294 1914176072588 3828352145176