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85461722380 = 2251723103106103
BaseRepresentation
bin100111110010111101…
…0100110010100001100
322011120222022022121001
41033211322212110030
52400011200104010
6103132141150044
76113551440316
oct1174572462414
9264528268531
1085461722380
1133275a06a31
1214690b5b324
13809c835bc8
1441ca2aa7b6
152352c2bc3a
hex13e5ea650c

85461722380 has 96 divisors (see below), whose sum is σ = 200215701504. Its totient is φ = 30475889664.

The previous prime is 85461722369. The next prime is 85461722399. The reversal of 85461722380 is 8322716458.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 85461722380.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752409 + ... + 858511.

It is an arithmetic number, because the mean of its divisors is an integer number (2085580224).

Almost surely, 285461722380 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 85461722380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100107850752).

85461722380 is an abundant number, since it is smaller than the sum of its proper divisors (114753979124).

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

85461722380 is a wasteful number, since it uses less digits than its factorization.

85461722380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106255 (or 106253 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 85461722380 in words is "eighty-five billion, four hundred sixty-one million, seven hundred twenty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 103 115 170 206 230 340 391 412 460 515 782 1030 1564 1751 1955 2060 2369 3502 3910 4738 7004 7820 8755 9476 11845 17510 23690 35020 40273 47380 80546 106103 161092 201365 212206 402730 424412 530515 805460 1061030 1803751 2122060 2440369 3607502 4880738 7215004 9018755 9761476 10928609 12201845 18037510 21857218 24403690 36075020 41486273 43714436 48807380 54643045 82972546 109286090 165945092 185786353 207431365 218572180 251358007 371572706 414862730 502716014 743145412 829725460 928931765 1005432028 1256790035 1857863530 2513580070 3715727060 4273086119 5027160140 8546172238 17092344476 21365430595 42730861190 85461722380