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116026052576 = 2572596718719
BaseRepresentation
bin110110000001110110…
…0010000111111100000
3102002111001111011110112
41230003230100333200
53400110132140301
6125145052550452
711245143113600
oct1540354207740
9362431434415
10116026052576
114522a755655
121a5a0a82428
13ac30ab7ca5
145889654c00
1530411799bb
hex1b03b10fe0

116026052576 has 144 divisors (see below), whose sum is σ = 274271961600. Its totient is φ = 48150482688.

The previous prime is 116026052543. The next prime is 116026052581. The reversal of 116026052576 is 675250620611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6188945 + ... + 6207663.

It is an arithmetic number, because the mean of its divisors is an integer number (1904666400).

Almost surely, 2116026052576 is an apocalyptic number.

116026052576 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 116026052576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137135980800).

116026052576 is an abundant number, since it is smaller than the sum of its proper divisors (158245909024).

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

116026052576 is a wasteful number, since it uses less digits than its factorization.

116026052576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18869 (or 18854 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 116026052576 in words is "one hundred sixteen billion, twenty-six million, fifty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 67 98 112 118 134 196 224 236 268 392 413 469 472 536 784 826 938 944 1072 1568 1652 1876 1888 2144 2891 3283 3304 3752 3953 5782 6566 6608 7504 7906 11564 13132 13216 15008 15812 18719 23128 26264 27671 31624 37438 46256 52528 55342 63248 74876 92512 105056 110684 126496 131033 149752 193697 221368 262066 299504 387394 442736 524132 599008 774788 885472 917231 1048264 1104421 1254173 1549576 1834462 2096528 2208842 2508346 3099152 3668924 4193056 4417684 5016692 6198304 7337848 7730947 8779211 8835368 10033384 14675696 15461894 17558422 17670736 20066768 29351392 30923788 35116844 35341472 40133536 54116629 61454477 61847576 70233688 73996207 108233258 122908954 123695152 140467376 147992414 216466516 245817908 247390304 280934752 295984828 432933032 491635816 517973449 591969656 865866064 983271632 1035946898 1183939312 1731732128 1966543264 2071893796 2367878624 3625814143 4143787592 7251628286 8287575184 14503256572 16575150368 29006513144 58013026288 116026052576