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85767518652 = 223171675714409
BaseRepresentation
bin100111111100000100…
…1000111100110111100
322012101021201101012220
41033320021013212330
52401122441044102
6103222343325340
76124253610534
oct1177011074674
9265337641186
1085767518652
113341258a222
1214757450850
13811acb304a
144218b4c4c4
15236e9d31bc
hex13f82479bc

85767518652 has 96 divisors (see below), whose sum is σ = 213586813440. Its totient is φ = 26693437440.

The previous prime is 85767518609. The next prime is 85767518677. The reversal of 85767518652 is 25681576758.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19450624 + ... + 19455032.

It is an arithmetic number, because the mean of its divisors is an integer number (2224862640).

Almost surely, 285767518652 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 85767518652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106793406720).

85767518652 is an abundant number, since it is smaller than the sum of its proper divisors (127819294788).

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

85767518652 is a wasteful number, since it uses less digits than its factorization.

85767518652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5171 (or 5169 counting only the distinct ones).

The product of its digits is 28224000, while the sum is 60.

The spelling of 85767518652 in words is "eighty-five billion, seven hundred sixty-seven million, five hundred eighteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 167 204 334 501 571 668 1002 1142 1713 2004 2284 2839 3426 4409 5678 6852 8517 8818 9707 11356 13227 17034 17636 19414 26454 29121 34068 38828 52908 58242 74953 95357 116484 149906 190714 224859 286071 299812 381428 449718 572142 736303 899436 1144284 1472606 1621069 2208909 2517539 2945212 3242138 4417818 4863207 5035078 6484276 7552617 8835636 9726414 10070156 12517151 15105234 19452828 25034302 30210468 37551453 42798163 50068604 75102906 85596326 128394489 150205812 171192652 256788978 420429013 513577956 840858026 1261287039 1681716052 2522574078 5045148156 7147293221 14294586442 21441879663 28589172884 42883759326 85767518652