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85351877604 = 2234746381281
BaseRepresentation
bin100111101111101011…
…1100100101111100100
322011022022121121220000
41033133113210233210
52344300040040404
6103113214541300
76111045663210
oct1173727445744
9264268547800
1085351877604
1133219a00a24
1214660207830
138082b563b6
1441b9875940
152348280339
hex13df5e4be4

85351877604 has 120 divisors (see below), whose sum is σ = 255555810048. Its totient is φ = 24333281280.

The previous prime is 85351877599. The next prime is 85351877621. The reversal of 85351877604 is 40677815358.

It is a happy number.

85351877604 is a `hidden beast` number, since 8 + 53 + 518 + 7 + 76 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1009444 + ... + 1090724.

Almost surely, 285351877604 is an apocalyptic number.

85351877604 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85351877604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127777905024).

85351877604 is an abundant number, since it is smaller than the sum of its proper divisors (170203932444).

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

85351877604 is a wasteful number, since it uses less digits than its factorization.

85351877604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81767 (or 81756 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 85351877604 in words is "eighty-five billion, three hundred fifty-one million, eight hundred seventy-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 463 567 756 926 1134 1389 1852 2268 2778 3241 4167 5556 6482 8334 9723 12501 12964 16668 19446 25002 29169 37503 38892 50004 58338 75006 81281 87507 116676 150012 162562 175014 243843 262521 325124 350028 487686 525042 568967 731529 975372 1050084 1137934 1463058 1706901 2194587 2275868 2926116 3413802 4389174 5120703 6583761 6827604 8778348 10241406 13167522 15362109 20482812 26335044 30724218 37633103 46086327 61448436 75266206 92172654 112899309 150532412 184345308 225798618 263431721 338697927 451597236 526863442 677395854 790295163 1016093781 1053726884 1354791708 1580590326 2032187562 2370885489 3048281343 3161180652 4064375124 4741770978 6096562686 7112656467 9483541956 12193125372 14225312934 21337969401 28450625868 42675938802 85351877604