Search a number
-
+
94820607828 = 22342973138241
BaseRepresentation
bin101100001001110111…
…1111010011101010100
3100001202012200221220000
41120103233322131110
53023143033422303
6111320542411300
76564512603532
oct1302357723524
9301665627800
1094820607828
1137238841101
1216463290b30
138c3176084b
144837223152
1526ee699da3
hex1613bfa754

94820607828 has 120 divisors (see below), whose sum is σ = 259941962280. Its totient is φ = 30098718720.

The previous prime is 94820607809. The next prime is 94820607841. The reversal of 94820607828 is 82870602849.

94820607828 is a `hidden beast` number, since 9 + 4 + 8 + 2 + 0 + 607 + 8 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3091582404 + 91729025424 = 55602^2 + 302868^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 616788 + ... + 755028.

It is an arithmetic number, because the mean of its divisors is an integer number (2166183019).

Almost surely, 294820607828 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 94820607828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129970981140).

94820607828 is an abundant number, since it is smaller than the sum of its proper divisors (165121354452).

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

94820607828 is a wasteful number, since it uses less digits than its factorization.

94820607828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138359 (or 138348 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 94820607828 in words is "ninety-four billion, eight hundred twenty million, six hundred seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 73 81 87 108 116 146 162 174 219 261 292 324 348 438 522 657 783 876 1044 1314 1566 1971 2117 2349 2628 3132 3942 4234 4698 5913 6351 7884 8468 9396 11826 12702 19053 23652 25404 38106 57159 76212 114318 138241 171477 228636 276482 342954 414723 552964 685908 829446 1244169 1658892 2488338 3732507 4008989 4976676 7465014 8017978 10091593 11197521 12026967 14930028 16035956 20183186 22395042 24053934 30274779 36080901 40366372 44790084 48107868 60549558 72161802 90824337 108242703 121099116 144323604 181648674 216485406 272473011 292656197 324728109 363297348 432970812 544946022 585312394 649456218 817419033 877968591 1089892044 1170624788 1298912436 1634838066 1755937182 2633905773 3269676132 3511874364 5267811546 7901717319 10535623092 15803434638 23705151957 31606869276 47410303914 94820607828