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85198238064 = 24327119343177
BaseRepresentation
bin100111101011000110…
…1011111000101110000
322010220121111221001200
41033112031133011300
52343441222104224
6103050045531200
76104202034422
oct1172615370560
9263817457050
1085198238064
11331502032a5
1214618873b00
13805a081a24
1441a32c0812
152339a325c9
hex13d635f170

85198238064 has 120 divisors (see below), whose sum is σ = 243053452512. Its totient is φ = 27853701120.

The previous prime is 85198238057. The next prime is 85198238101. The reversal of 85198238064 is 46083289158.

It is a super-4 number, since 4×851982380644 (a number of 45 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85198238064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1951644 + ... + 1994820.

Almost surely, 285198238064 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 85198238064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121526726256).

85198238064 is an abundant number, since it is smaller than the sum of its proper divisors (157855214448).

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

85198238064 is a wasteful number, since it uses less digits than its factorization.

85198238064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43455 (or 43446 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 85198238064 in words is "eighty-five billion, one hundred ninety-eight million, two hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 193 213 284 386 426 568 579 639 772 852 1136 1158 1278 1544 1704 1737 2316 2556 3088 3408 3474 4632 5112 6948 9264 10224 13703 13896 27406 27792 41109 43177 54812 82218 86354 109624 123327 129531 164436 172708 219248 246654 259062 328872 345416 388593 493308 518124 657744 690832 777186 986616 1036248 1554372 1973232 2072496 3065567 3108744 6131134 6217488 8333161 9196701 12262268 16666322 18393402 24524536 24999483 27590103 33332644 36786804 49049072 49998966 55180206 66665288 73573608 74998449 99997932 110360412 133330576 147147216 149996898 199995864 220720824 299993796 399991728 441441648 591654431 599987592 1183308862 1199975184 1774963293 2366617724 3549926586 4733235448 5324889879 7099853172 9466470896 10649779758 14199706344 21299559516 28399412688 42599119032 85198238064