Search a number
-
+
328431415008 = 2533910387491
BaseRepresentation
bin1001100011110000000…
…10011010111011100000
31011101201221122120000210
410301320002122323200
520340111420240013
6410513533014120
732504556652164
oct4617002327340
91141657576023
10328431415008
11117317a761a4
125379b024340
1324c81239cb8
1411c79112ca4
158823741cc3
hex4c7809aee0

328431415008 has 48 divisors (see below), whose sum is σ = 862164366336. Its totient is φ = 109473087360.

The previous prime is 328431414991. The next prime is 328431415033. The reversal of 328431415008 is 800514134823.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3710143 + ... + 3797633.

It is an arithmetic number, because the mean of its divisors is an integer number (17961757632).

Almost surely, 2328431415008 is an apocalyptic number.

It is an amenable number.

328431415008 is an abundant number, since it is smaller than the sum of its proper divisors (533732951328).

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

328431415008 is a wasteful number, since it uses less digits than its factorization.

328431415008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126607 (or 126599 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 328431415008 in words is "three hundred twenty-eight billion, four hundred thirty-one million, four hundred fifteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 39103 78206 87491 117309 156412 174982 234618 262473 312824 349964 469236 524946 625648 699928 938472 1049892 1251296 1399856 1876944 2099784 2799712 3753888 4199568 8399136 3421160573 6842321146 10263481719 13684642292 20526963438 27369284584 41053926876 54738569168 82107853752 109477138336 164215707504 328431415008