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116309161376 = 2537475473821
BaseRepresentation
bin110110001010010010…
…0001111010110100000
3102010012210012120201122
41230110210033112200
53401200121131001
6125233124551412
711255151362642
oct1542444172640
9363183176648
10116309161376
1145365542471
121a65b852568
13ac776506a5
1458b50ac892
15305ae4db1b
hex1b1490f5a0

116309161376 has 96 divisors (see below), whose sum is σ = 240678127872. Its totient is φ = 55263237120.

The previous prime is 116309161349. The next prime is 116309161379. The reversal of 116309161376 is 673161903611.

116309161376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1163091613763 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (116309161379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30437546 + ... + 30441366.

It is an arithmetic number, because the mean of its divisors is an integer number (2507063832).

Almost surely, 2116309161376 is an apocalyptic number.

116309161376 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 116309161376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120339063936).

116309161376 is an abundant number, since it is smaller than the sum of its proper divisors (124368966496).

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

116309161376 is a wasteful number, since it uses less digits than its factorization.

116309161376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 44.

The spelling of 116309161376 in words is "one hundred sixteen billion, three hundred nine million, one hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 47 74 94 148 188 296 376 547 592 752 1094 1184 1504 1739 2188 3478 3821 4376 6956 7642 8752 13912 15284 17504 20239 25709 27824 30568 40478 51418 55648 61136 80956 102836 122272 141377 161912 179587 205672 282754 323824 359174 411344 565508 647648 718348 822688 951233 1131016 1436696 1902466 2090087 2262032 2873392 3804932 4180174 4524064 5746784 6644719 7609864 8360348 13289438 15219728 16720696 26578876 30439456 33441392 53157752 66882784 77333219 98234089 106315504 154666438 196468178 212631008 309332876 392936356 618665752 785872712 1237331504 1571745424 2474663008 3143490848 3634661293 7269322586 14538645172 29077290344 58154580688 116309161376