Search a number
-
+
72323680716 = 223275119533
BaseRepresentation
bin100001101011011010…
…0111100100111001100
320220200100202122120100
41003112310330213030
52141104330240331
653120335251100
75140151100000
oct1032664744714
9226610678510
1072323680716
1128743917861
1212025079a90
136a87991361
14370148a700
151d3460dae6
hex10d6d3c9cc

72323680716 has 108 divisors (see below), whose sum is σ = 213287863152. Its totient is φ = 20663735904.

The previous prime is 72323680687. The next prime is 72323680789. The reversal of 72323680716 is 61708632327.

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 35 ways as a sum of consecutive naturals, for example, 545286 + ... + 664818.

Almost surely, 272323680716 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 72323680716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106643931576).

72323680716 is an abundant number, since it is smaller than the sum of its proper divisors (140964182436).

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

72323680716 is a wasteful number, since it uses less digits than its factorization.

72323680716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119578 (or 119545 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 72323680716 in words is "seventy-two billion, three hundred twenty-three million, six hundred eighty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 2401 3087 4116 4802 6174 7203 9604 12348 14406 16807 21609 28812 33614 43218 50421 67228 86436 100842 119533 151263 201684 239066 302526 358599 478132 605052 717198 836731 1075797 1434396 1673462 2151594 2510193 3346924 4303188 5020386 5857117 7530579 10040772 11714234 15061158 17571351 23428468 30122316 35142702 40999819 52714053 70285404 81999638 105428106 122999457 163999276 210856212 245998914 286998733 368998371 491997828 573997466 737996742 860996199 1147994932 1475993484 1721992398 2008991131 2582988597 3443984796 4017982262 5165977194 6026973393 8035964524 10331954388 12053946786 18080920179 24107893572 36161840358 72323680716