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85091810408 = 231131713032341
BaseRepresentation
bin100111100111111011…
…1011111110001101000
322010122012020211202122
41033033313133301220
52343232000413113
6103031324450412
76101440311623
oct1171767376150
9263565224678
1085091810408
11330a6121660
12145a90a9a08
138040cca697
1441930d8dba
15233050d408
hex13cfddfc68

85091810408 has 64 divisors (see below), whose sum is σ = 174809128320. Its totient is φ = 38510035200.

The previous prime is 85091810389. The next prime is 85091810417. The reversal of 85091810408 is 80401819058.

It is a super-2 number, since 2×850918104082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36347318 + ... + 36349658.

It is an arithmetic number, because the mean of its divisors is an integer number (2731392630).

Almost surely, 285091810408 is an apocalyptic number.

85091810408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85091810408 is an abundant number, since it is smaller than the sum of its proper divisors (89717317912).

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

85091810408 is a wasteful number, since it uses less digits than its factorization.

85091810408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 44.

The spelling of 85091810408 in words is "eighty-five billion, ninety-one million, eight hundred ten thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 44 88 317 634 1268 1303 2341 2536 2606 3487 4682 5212 6974 9364 10424 13948 14333 18728 25751 27896 28666 51502 57332 103004 114664 206008 413051 742097 826102 1484194 1652204 2968388 3050323 3304408 4543561 5936776 6100646 8163067 9087122 12201292 16326134 18174244 24402584 32652268 33553553 36348488 65304536 67107106 134214212 268428424 966952391 1933904782 3867809564 7735619128 10636476301 21272952602 42545905204 85091810408