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85904092836 = 22341928572
BaseRepresentation
bin101000000000001001…
…0000110111010100100
322012201210201001210000
41100000102012322210
52401412421432321
6103244102501300
76130532512152
oct1200022067244
9265653631700
1085904092836
1133482691451
1214795134830
138140390c83
14422cd403d2
15237b9ae826
hex1400486ea4

85904092836 has 135 divisors (see below), whose sum is σ = 237288716049. Its totient is φ = 27095954112.

The previous prime is 85904092831. The next prime is 85904092849. The reversal of 85904092836 is 63829040958.

The square root of 85904092836 is 293094.

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

85904092836 is a `hidden beast` number, since 8 + 590 + 40 + 9 + 2 + 8 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79608622500 + 6295470336 = 282150^2 + 79344^2 .

It is a super-2 number, since 2×859040928362 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (85904092831) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 100237720 + ... + 100238576.

Almost surely, 285904092836 is an apocalyptic number.

85904092836 is the 293094-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85904092836

85904092836 is an abundant number, since it is smaller than the sum of its proper divisors (151384623213).

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

85904092836 is an equidigital number, since it uses as much as digits as its factorization.

85904092836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 85904092836 in words is "eighty-five billion, nine hundred four million, ninety-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 857 1026 1083 1444 1539 1714 2052 2166 2571 3078 3249 3428 4332 5142 6156 6498 7713 9747 10284 12996 15426 16283 19494 23139 29241 30852 32566 38988 46278 48849 58482 65132 69417 92556 97698 116964 138834 146547 195396 277668 293094 309377 439641 586188 618754 734449 879282 928131 1237508 1318923 1468898 1758564 1856262 2203347 2637846 2784393 2937796 3712524 4406694 5275692 5568786 6610041 8353179 8813388 11137572 13220082 13954531 16706358 19830123 25059537 26440164 27909062 33412716 39660246 41863593 50119074 55818124 59490369 79320492 83727186 100238148 118980738 125590779 167454372 237961476 251181558 265136089 376772337 502363116 530272178 753544674 795408267 1060544356 1130317011 1507089348 1590816534 2260634022 2386224801 3181633068 4521268044 4772449602 7158674403 9544899204 14317348806 21476023209 28634697612 42952046418 85904092836