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134364632310 = 23257123339013
BaseRepresentation
bin111110100100011000…
…0011001010011110110
3110211211002202112120100
41331020300121103312
54200134321213220
6141420512214530
712464452346616
oct1751060312366
9424732675510
10134364632310
1151a90371a77
122205a53a446
13c8942035bc
146709018a46
153766112d90
hex1f48c194f6

134364632310 has 96 divisors (see below), whose sum is σ = 354459613248. Its totient is φ = 35306853120.

The previous prime is 134364632299. The next prime is 134364632323. The reversal of 134364632310 is 13236463431.

134364632310 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 6 + 4 + 632 + 3 + 10 = 666.

It is a super-2 number, since 2×1343646323102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 14903364 + ... + 14912376.

It is an arithmetic number, because the mean of its divisors is an integer number (3692287638).

Almost surely, 2134364632310 is an apocalyptic number.

134364632310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134364632310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177229806624).

134364632310 is an abundant number, since it is smaller than the sum of its proper divisors (220094980938).

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

134364632310 is a wasteful number, since it uses less digits than its factorization.

134364632310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430 (or 11427 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 134364632310 in words is "one hundred thirty-four billion, three hundred sixty-four million, six hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 2333 3195 4666 6390 6999 9013 11665 13998 18026 20997 23330 27039 34995 41994 45065 54078 69990 81117 90130 104985 135195 162234 165643 209970 270390 331286 405585 496929 639923 811170 828215 993858 1279846 1490787 1656430 1919769 2484645 2981574 3199615 3839538 4969290 5759307 6399230 7453935 9598845 11518614 14907870 19197690 21027329 28796535 42054658 57593070 63081987 105136645 126163974 189245961 210273290 315409935 378491922 630819870 946229805 1492940359 1892459610 2985880718 4478821077 7464701795 8957642154 13436463231 14929403590 22394105385 26872926462 44788210770 67182316155 134364632310