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85744076976 = 2432718386549
BaseRepresentation
bin100111111011010111…
…1101100100010110000
322012022122121102021200
41033312233230202300
52401100440430401
6103220145051200
76123550425465
oct1176657544260
9265278542250
1085744076976
1133400329138
121474b626b00
13811619622c
1442159a966c
15236c902686
hex13f6bec8b0

85744076976 has 60 divisors (see below), whose sum is σ = 243344134800. Its totient is φ = 28178801280.

The previous prime is 85744076959. The next prime is 85744077007. The reversal of 85744076976 is 67967044758.

85744076976 is a `hidden beast` number, since 8 + 57 + 440 + 76 + 9 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4183051 + ... + 4203498.

It is an arithmetic number, because the mean of its divisors is an integer number (4055735580).

Almost surely, 285744076976 is an apocalyptic number.

It is an amenable number.

85744076976 is an abundant number, since it is smaller than the sum of its proper divisors (157600057824).

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

85744076976 is a wasteful number, since it uses less digits than its factorization.

85744076976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386634 (or 8386625 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 85744076976 in words is "eighty-five billion, seven hundred forty-four million, seventy-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 8386549 16773098 25159647 33546196 50319294 67092392 75478941 100638588 134184784 150957882 201277176 301915764 402554352 595444979 603831528 1190889958 1207663056 1786334937 2381779916 3572669874 4763559832 5359004811 7145339748 9527119664 10718009622 14290679496 21436019244 28581358992 42872038488 85744076976