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85336509076 = 227132910775553
BaseRepresentation
bin100111101111001110…
…0111100101010010100
322011021020200211020021
41033132130330222110
52344232121242301
6103111505314524
76110501234050
oct1173634745224
9264236624207
1085336509076
1133211264365
1214657035a44
13807c9050b0
1441b77d4c60
152346c468a1
hex13de73ca94

85336509076 has 96 divisors (see below), whose sum is σ = 191919248640. Its totient is φ = 32290320384.

The previous prime is 85336508953. The next prime is 85336509079. The reversal of 85336509076 is 67090563358.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85336509079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091716 + ... + 1167268.

It is an arithmetic number, because the mean of its divisors is an integer number (1999158840).

Almost surely, 285336509076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85336509076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95959624320).

85336509076 is an abundant number, since it is smaller than the sum of its proper divisors (106582739564).

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

85336509076 is a wasteful number, since it uses less digits than its factorization.

85336509076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75713 (or 75711 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 52.

The spelling of 85336509076 in words is "eighty-five billion, three hundred thirty-six million, five hundred nine thousand, seventy-six".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 107 116 182 203 214 364 377 406 428 749 754 812 1391 1498 1508 2639 2782 2996 3103 5278 5564 6206 9737 10556 12412 19474 21721 38948 40339 43442 75553 80678 86884 151106 161356 282373 302212 528871 564746 982189 1057742 1129492 1964378 2115484 2191037 3928756 4382074 6875323 8084171 8764148 13750646 15337259 16168342 27501292 28483481 30674518 32336684 56589197 56966962 61349036 105094223 113178394 113933924 199384367 210188446 226356788 234440959 398768734 420376892 468881918 735659561 797537468 937763836 1471319122 1641086713 2942638244 3047732467 3282173426 6095464934 6564346852 12190929868 21334127269 42668254538 85336509076