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85630011273 = 3437435031321
BaseRepresentation
bin100111110111111110…
…0100100011110001001
322012000200222021120000
41033233330210132021
52400332240330043
6103200552153213
76120664041432
oct1175774443611
9265020867500
1085630011273
11333519aa964
1214719398809
1380c8669431
144204796489
1523628c02d3
hex13eff24789

85630011273 has 80 divisors (see below), whose sum is σ = 134798057856. Its totient is φ = 54103230720.

The previous prime is 85630011209. The next prime is 85630011307. The reversal of 85630011273 is 37211003658.

85630011273 is a `hidden beast` number, since 8 + 5 + 630 + 0 + 1 + 12 + 7 + 3 = 666.

It is not a de Polignac number, because 85630011273 - 26 = 85630011209 is a prime.

It is a super-2 number, since 2×856300112732 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85630016273) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64821453 + ... + 64822773.

Almost surely, 285630011273 is an apocalyptic number.

It is an amenable number.

85630011273 is a deficient number, since it is larger than the sum of its proper divisors (49168046583).

85630011273 is a wasteful number, since it uses less digits than its factorization.

85630011273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 85630011273 in words is "eighty-five billion, six hundred thirty million, eleven thousand, two hundred seventy-three".

Divisors: 1 3 9 27 37 43 81 111 129 333 387 503 999 1161 1321 1509 1591 2997 3483 3963 4527 4773 11889 13581 14319 18611 21629 35667 40743 42957 48877 55833 56803 64887 107001 128871 146631 167499 170409 194661 439893 502497 511227 583983 664463 800273 1319679 1507491 1533681 1751949 1993389 2101711 2400819 3959037 4601043 5980167 6305133 7202457 17940501 18915399 21607371 24585131 28571909 53821503 56746197 64822113 73755393 85715727 170238591 221266179 257147181 663798537 771441543 1057160633 1991395611 2314324629 3171481899 9514445697 28543337091 85630011273