Search a number
-
+
323642451712 = 2819232892971
BaseRepresentation
bin1001011010110101001…
…01111110011100000000
31010221101012101000101211
410231122211332130000
520300304431423322
6404402420535504
732245106310106
oct4553245763400
91127335330354
10323642451712
1111528a7aa198
1252883251594
132469a02b0c8
14119430a7c76
1586430c4b77
hex4b5a97e700

323642451712 has 72 divisors (see below), whose sum is σ = 709588172160. Its totient is φ = 146638863360.

The previous prime is 323642451703. The next prime is 323642451733. The reversal of 323642451712 is 217154246323.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1334614 + ... + 1558357.

It is an arithmetic number, because the mean of its divisors is an integer number (9855391280).

Almost surely, 2323642451712 is an apocalyptic number.

323642451712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

323642451712 is an abundant number, since it is smaller than the sum of its proper divisors (385945720448).

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

323642451712 is a wasteful number, since it uses less digits than its factorization.

323642451712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893029 (or 2893015 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The spelling of 323642451712 in words is "three hundred twenty-three billion, six hundred forty-two million, four hundred fifty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 368 437 608 736 874 1216 1472 1748 2432 2944 3496 4864 5888 6992 13984 27968 55936 111872 2892971 5785942 11571884 23143768 46287536 54966449 66538333 92575072 109932898 133076666 185150144 219865796 266153332 370300288 439731592 532306664 740600576 879463184 1064613328 1264228327 1758926368 2129226656 2528456654 3517852736 4258453312 5056913308 7035705472 8516906624 10113826616 14071410944 17033813248 20227653232 40455306464 80910612928 161821225856 323642451712