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85150096902 = 232132943328979
BaseRepresentation
bin100111101001101010…
…1110101111000000110
322010210020221002210200
41033103111311320012
52343341411100102
6103041210031330
76103045611243
oct1172325657006
9263706832720
1085150096902
1133126012112
1214604718546
1380500c7730
14419ab4c5ca
1523356c351c
hex13d3575e06

85150096902 has 96 divisors (see below), whose sum is σ = 206016501600. Its totient is φ = 25237287936.

The previous prime is 85150096897. The next prime is 85150096907. The reversal of 85150096902 is 20969005158.

85150096902 is a `hidden beast` number, since 8 + 51 + 500 + 9 + 6 + 90 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (85150096897) and next prime (85150096907).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85150096907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2923849 + ... + 2952827.

It is an arithmetic number, because the mean of its divisors is an integer number (2146005225).

Almost surely, 285150096902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85150096902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103008250800).

85150096902 is an abundant number, since it is smaller than the sum of its proper divisors (120866404698).

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

85150096902 is a wasteful number, since it uses less digits than its factorization.

85150096902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29462 (or 29459 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 85150096902 in words is "eighty-five billion, one hundred fifty million, ninety-six thousand, nine hundred two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 433 522 754 866 1131 1299 2262 2598 3393 3897 5629 6786 7794 11258 12557 16887 25114 28979 33774 37671 50661 57958 75342 86937 101322 113013 163241 173874 226026 260811 326482 376727 489723 521622 753454 840391 979446 1130181 1469169 1680782 2260362 2521173 2938338 3390543 5042346 6781086 7563519 10925083 12547907 15127038 21850166 25095814 32775249 37643721 65550498 75287442 98325747 112931163 163122791 196651494 225862326 326245582 363889303 489368373 727778606 978736746 1091667909 1468105119 2183335818 2936210238 3275003727 4730560939 6550007454 9461121878 14191682817 28383365634 42575048451 85150096902