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85531870580 = 22513737575953
BaseRepresentation
bin100111110101000011…
…0001100010101110100
322011202212022012211112
41033222012030111310
52400132124324310
6103143124454152
76115362622112
oct1175206142564
9264685265745
1085531870580
1133301569352
12146b054a358
1380b1227010
1441d572aab2
152358e86705
hex13ea18c574

85531870580 has 96 divisors (see below), whose sum is σ = 196375399584. Its totient is φ = 31102009344.

The previous prime is 85531870559. The next prime is 85531870597. The reversal of 85531870580 is 8507813558.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 53514494224 + 32017376356 = 231332^2 + 178934^2 .

It is a super-3 number, since 3×855318705803 (a number of 34 digits) contains 333 as substring.

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, 14364884 + ... + 14370836.

It is an arithmetic number, because the mean of its divisors is an integer number (2045577079).

Almost surely, 285531870580 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 85531870580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98187699792).

85531870580 is an abundant number, since it is smaller than the sum of its proper divisors (110843529004).

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

85531870580 is a wasteful number, since it uses less digits than its factorization.

85531870580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6805 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 50.

The spelling of 85531870580 in words is "eighty-five billion, five hundred thirty-one million, eight hundred seventy thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 757 949 1460 1514 1898 3028 3785 3796 4745 5953 7570 9490 9841 11906 15140 18980 19682 23812 29765 39364 49205 55261 59530 77389 98410 110522 119060 154778 196820 221044 276305 309556 386945 434569 552610 718393 773890 869138 1105220 1436786 1547780 1738276 2172845 2873572 3591965 4345690 4506421 5649397 7183930 8691380 9012842 11298794 14367860 18025684 22532105 22597588 28246985 45064210 56493970 58583473 90128420 112987940 117166946 234333892 292917365 328968733 585834730 657937466 1171669460 1315874932 1644843665 3289687330 4276593529 6579374660 8553187058 17106374116 21382967645 42765935290 85531870580