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76285335204 = 223213235412
BaseRepresentation
bin100011100001011110…
…1011101011010100100
321021220110022112212100
41013002331131122210
52222213021211304
655013415252100
75340264436041
oct1070275353244
9237813275770
1076285335204
112a3970a0481
121294b97a030
137269678300
14399969c1c8
151eb730c439
hex11c2f5d6a4

76285335204 has 81 divisors (see below), whose sum is σ = 208865639619. Its totient is φ = 23465782080.

The previous prime is 76285335167. The next prime is 76285335221. The reversal of 76285335204 is 40253358267.

The square root of 76285335204 is 276198.

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

76285335204 is a `hidden beast` number, since 7 + 62 + 8 + 533 + 52 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15792948900 + 60492386304 = 125670^2 + 245952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76285335204.

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 26 ways as a sum of consecutive naturals, for example, 21541674 + ... + 21545214.

Almost surely, 276285335204 is an apocalyptic number.

76285335204 is the 276198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76285335204

76285335204 is an abundant number, since it is smaller than the sum of its proper divisors (132580304415).

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

76285335204 is a wasteful number, since it uses less digits than its factorization.

76285335204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7118 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 76285335204 in words is "seventy-six billion, two hundred eighty-five million, three hundred thirty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 3541 6084 7082 10623 14164 21246 31869 42492 46033 63738 92066 127476 138099 184132 276198 414297 552396 598429 828594 1196858 1657188 1795287 2393716 3590574 5385861 7181148 10771722 12538681 21543444 25077362 37616043 50154724 75232086 112848129 150464172 163002853 225696258 326005706 451392516 489008559 652011412 978017118 1467025677 1956034236 2119037089 2934051354 4238074178 5868102708 6357111267 8476148356 12714222534 19071333801 25428445068 38142667602 76285335204