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85098957504 = 26311293137519
BaseRepresentation
bin100111101000001001…
…0110000101011000000
322010122200200221201220
41033100102300223000
52343240313120004
6103032141555040
76101555126631
oct1172022605300
9263580627656
1085098957504
11330aa163350
12145ab575a80
138042630832
144194039888
152330e70dd9
hex13d04b0ac0

85098957504 has 112 divisors (see below), whose sum is σ = 246466644480. Its totient is φ = 25699363840.

The previous prime is 85098957469. The next prime is 85098957521. The reversal of 85098957504 is 40575989058.

It is a super-3 number, since 3×850989575043 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550057 + ... + 687575.

It is an arithmetic number, because the mean of its divisors is an integer number (2200595040).

Almost surely, 285098957504 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 85098957504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123233322240).

85098957504 is an abundant number, since it is smaller than the sum of its proper divisors (161367686976).

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

85098957504 is a wasteful number, since it uses less digits than its factorization.

85098957504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137838 (or 137828 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 60.

The spelling of 85098957504 in words is "eighty-five billion, ninety-eight million, nine hundred fifty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 293 352 528 586 704 879 1056 1172 1758 2112 2344 3223 3516 4688 6446 7032 9376 9669 12892 14064 18752 19338 25784 28128 38676 51568 56256 77352 103136 137519 154704 206272 275038 309408 412557 550076 618816 825114 1100152 1512709 1650228 2200304 3025418 3300456 4400608 4538127 6050836 6600912 8801216 9076254 12101672 13201824 18152508 24203344 26403648 36305016 40293067 48406688 72610032 80586134 96813376 120879201 145220064 161172268 241758402 290440128 322344536 443223737 483516804 644689072 886447474 967033608 1289378144 1329671211 1772894948 1934067216 2578756288 2659342422 3545789896 3868134432 5318684844 7091579792 7736268864 10637369688 14183159584 21274739376 28366319168 42549478752 85098957504