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10835316816 = 243437173939
BaseRepresentation
bin10100001011101010…
…11101000001010000
31000222010120010101020
422011311131001100
5134142320114231
64551102235440
7532336446642
oct120565350120
930863503336
1010835316816
114660287995
122124885b80
131038a8738c
1474b082892
154363ae396
hex285d5d050

10835316816 has 80 divisors (see below), whose sum is σ = 29045998080. Its totient is φ = 3478043520.

The previous prime is 10835316769. The next prime is 10835316823. The reversal of 10835316816 is 61861353801.

It is a congruent number.

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, 109575 + ... + 183513.

It is an arithmetic number, because the mean of its divisors is an integer number (363074976).

Almost surely, 210835316816 is an apocalyptic number.

10835316816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10835316816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522999040).

10835316816 is an abundant number, since it is smaller than the sum of its proper divisors (18210681264).

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

10835316816 is a wasteful number, since it uses less digits than its factorization.

10835316816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74064 (or 74058 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 10835316816 in words is "ten billion, eight hundred thirty-five million, three hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 71 86 129 142 172 213 258 284 344 426 516 568 688 852 1032 1136 1704 2064 3053 3408 6106 9159 12212 18318 24424 36636 48848 73272 73939 146544 147878 221817 295756 443634 591512 887268 1183024 1774536 3179377 3549072 5249669 6358754 9538131 10499338 12717508 15749007 19076262 20998676 25435016 31498014 38152524 41997352 50870032 62996028 76305048 83994704 125992056 152610096 225735767 251984112 451471534 677207301 902943068 1354414602 1805886136 2708829204 3611772272 5417658408 10835316816