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60113433431106 = 232111878716160281
BaseRepresentation
bin11011010101100001111111…
…10110001000110001000010
321212211210021112101212101100
431222300333312020301002
530334344302424243411
6331503421410315230
715443023630252206
oct1552607766106102
9255753245355340
1060113433431106
1118176a67021890
1268aa477288b16
1327708984a7b23
1410bb71190ab06
156e3a4d308456
hex36ac3fd88c42

60113433431106 has 48 divisors (see below), whose sum is σ = 142093869005088. Its totient is φ = 18215221204800.

The previous prime is 60113433431059. The next prime is 60113433431123.

60113433431106 is a `hidden beast` number, since 6 + 0 + 1 + 1 + 3 + 4 + 334 + 311 + 0 + 6 = 666.

60113433431106 is nontrivially palindromic in base 10.

60113433431106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×601134334311062 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4360315 + ... + 11799966.

It is an arithmetic number, because the mean of its divisors is an integer number (2960288937606).

Almost surely, 260113433431106 is an apocalyptic number.

60113433431106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

60113433431106 is an abundant number, since it is smaller than the sum of its proper divisors (81980435573982).

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

60113433431106 is a wasteful number, since it uses less digits than its factorization.

60113433431106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16179087 (or 16179084 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 6011343 and 3431106, that added together give a palindrome (9442449).

The spelling of 60113433431106 in words is "sixty trillion, one hundred thirteen billion, four hundred thirty-three million, four hundred thirty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 18787 37574 56361 112722 169083 206657 338166 413314 619971 1239942 1859913 3719826 16160281 32320562 48480843 96961686 145442529 177763091 290885058 355526182 533289273 1066578546 1599867819 3199735638 303603199147 607206398294 910809597441 1821619194882 2732428792323 3339635190617 5464857584646 6679270381234 10018905571851 20037811143702 30056716715553 60113433431106