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85114035048 = 23371721753049
BaseRepresentation
bin100111101000100110…
…0010001101101101000
322010200202001222020110
41033101030101231220
52343303143110143
6103033441054320
76102130234530
oct1172114215550
9263622058213
1085114035048
1133107721329
12145b46273a0
1380457ac563
1441960424c0
15233244d533
hex13d1311b68

85114035048 has 96 divisors (see below), whose sum is σ = 258329448000. Its totient is φ = 22887794688.

The previous prime is 85114035011. The next prime is 85114035049. The reversal of 85114035048 is 84053041158.

It is a junction number, because it is equal to n+sod(n) for n = 85114034997 and 85114035015.

It is not an unprimeable number, because it can be changed into a prime (85114035049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827973 + ... + 925076.

It is an arithmetic number, because the mean of its divisors is an integer number (2690931750).

Almost surely, 285114035048 is an apocalyptic number.

It is an amenable number.

85114035048 is an abundant number, since it is smaller than the sum of its proper divisors (173215412952).

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

85114035048 is a wasteful number, since it uses less digits than its factorization.

85114035048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753099 (or 1753078 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 85114035048 in words is "eighty-five billion, one hundred fourteen million, thirty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 289 357 408 476 578 714 867 952 1156 1428 1734 2023 2312 2856 3468 4046 6069 6936 8092 12138 16184 24276 48552 1753049 3506098 5259147 7012196 10518294 12271343 14024392 21036588 24542686 29801833 36814029 42073176 49085372 59603666 73628058 89405499 98170744 119207332 147256116 178810998 208612831 238414664 294512232 357621996 417225662 506631161 625838493 715243992 834451324 1013262322 1251676986 1519893483 1668902648 2026524644 2503353972 3039786966 3546418127 4053049288 5006707944 6079573932 7092836254 10639254381 12159147864 14185672508 21278508762 28371345016 42557017524 85114035048