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85253600800 = 2552472267383
BaseRepresentation
bin100111101100110000…
…0101011011000100000
322011001110200122110101
41033121200223120200
52344044410211200
6103055344312144
76105443436004
oct1173140533040
9264043618411
1085253600800
1133179487125
1214633312654
138068697044
1441aa7b2704
15233e81b26a
hex13d982b620

85253600800 has 72 divisors (see below), whose sum is σ = 212553645696. Its totient is φ = 33375863040.

The previous prime is 85253600767. The next prime is 85253600827. The reversal of 85253600800 is 800635258.

It is a self number, because there is not a number n which added to its sum of digits gives 85253600800.

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, 1096092 + ... + 1171291.

It is an arithmetic number, because the mean of its divisors is an integer number (2952133968).

Almost surely, 285253600800 is an apocalyptic number.

85253600800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85253600800 is an abundant number, since it is smaller than the sum of its proper divisors (127300044896).

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

85253600800 is a wasteful number, since it uses less digits than its factorization.

85253600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267450 (or 2267437 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 85253600800 in words is "eighty-five billion, two hundred fifty-three million, six hundred thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1175 1504 1880 2350 3760 4700 7520 9400 18800 37600 2267383 4534766 9069532 11336915 18139064 22673830 36278128 45347660 56684575 72556256 90695320 106567001 113369150 181390640 213134002 226738300 362781280 426268004 453476600 532835005 852536008 906953200 1065670010 1705072016 1813906400 2131340020 2664175025 3410144032 4262680040 5328350050 8525360080 10656700100 17050720160 21313400200 42626800400 85253600800