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85738808310 = 2353195396739
BaseRepresentation
bin100111111011001101…
…1100110001111110110
322012022021200202000220
41033312123212033312
52401043113331220
6103215440115210
76123454563111
oct1176633461766
9265267622026
1085738808310
11333a835a771
1214749905b06
13811507008c
144214dd7578
15236c211540
hex13f66e63f6

85738808310 has 64 divisors (see below), whose sum is σ = 212636067840. Its totient is φ = 22102698240.

The previous prime is 85738808297. The next prime is 85738808383. The reversal of 85738808310 is 1380883758.

It is a super-2 number, since 2×857388083102 (a number of 23 digits) contains 22 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, 837921 + ... + 934659.

It is an arithmetic number, because the mean of its divisors is an integer number (3322438560).

Almost surely, 285738808310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85738808310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106318033920).

85738808310 is an abundant number, since it is smaller than the sum of its proper divisors (126897259530).

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

85738808310 is a wasteful number, since it uses less digits than its factorization.

85738808310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97733.

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 85738808310 in words is "eighty-five billion, seven hundred thirty-eight million, eight hundred eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 953 1906 2859 4765 5718 9530 14295 28590 29543 59086 88629 96739 147715 177258 193478 290217 295430 443145 483695 580434 886290 967390 1451085 2902170 2998909 5997818 8996727 14994545 17993454 29989090 44983635 89967270 92192267 184384534 276576801 460961335 553153602 921922670 1382884005 2765768010 2857960277 5715920554 8573880831 14289801385 17147761662 28579602770 42869404155 85738808310