Search a number
-
+
69406956304 = 2472974
BaseRepresentation
bin100000010100011111…
…0100001101100010000
320122011002102200212021
41000220332201230100
52114121140100204
651515103541224
75004653252200
oct1005076415420
9218132380767
1069406956304
1127487465614
12115502ba814
13671161611a
143505d60400
151c13519154
hex1028fa1b10

69406956304 has 75 divisors (see below), whose sum is σ = 158060731587. Its totient is φ = 29439180288.

The previous prime is 69406956253. The next prime is 69406956317. The reversal of 69406956304 is 40365960496.

The square root of 69406956304 is 263452.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 721029904 + 68685926400 = 26852^2 + 262080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 715535584 + ... + 715535680.

Almost surely, 269406956304 is an apocalyptic number.

69406956304 is the 263452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69406956304

69406956304 is an abundant number, since it is smaller than the sum of its proper divisors (88653775283).

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

69406956304 is an frugal number, since it uses more digits than its factorization.

69406956304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 52.

The spelling of 69406956304 in words is "sixty-nine billion, four hundred six million, nine hundred fifty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 97 98 112 194 196 388 392 679 776 784 1358 1552 2716 4753 5432 9409 9506 10864 18818 19012 37636 38024 65863 75272 76048 131726 150544 263452 461041 526904 912673 922082 1053808 1825346 1844164 3650692 3688328 6388711 7301384 7376656 12777422 14602768 25554844 44720977 51109688 88529281 89441954 102219376 177058562 178883908 354117124 357767816 619704967 708234248 715535632 1239409934 1416468496 2478819868 4337934769 4957639736 8675869538 9915279472 17351739076 34703478152 69406956304