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13066041035454 = 23114135391364381
BaseRepresentation
bin1011111000100010110010…
…1111000000101010111110
31201021002201212100201202120
42332020230233000222332
53203033223001113304
643442242325103410
72515663451214351
oct276105457005276
951232655321676
1013066041035454
114188305596140
121570352857b66
1373a178b4b2a4
14332584d2a298
15179d2742b0d9
hexbe22cbc0abe

13066041035454 has 64 divisors (see below), whose sum is σ = 29211309469440. Its totient is φ = 3861741152000.

The previous prime is 13066041035449. The next prime is 13066041035461. The reversal of 13066041035454 is 45453014066031.

It is a happy number.

It is a super-2 number, since 2×130660410354542 (a number of 27 digits) contains 22 as substring.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 8894344 + ... + 10258724.

It is an arithmetic number, because the mean of its divisors is an integer number (456426710460).

Almost surely, 213066041035454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13066041035454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605654734720).

13066041035454 is an abundant number, since it is smaller than the sum of its proper divisors (16145268433986).

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

13066041035454 is a wasteful number, since it uses less digits than its factorization.

13066041035454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367977.

The product of its (nonzero) digits is 518400, while the sum is 42.

It can be divided in two parts, 130660 and 41035454, that added together give a palindrome (41166114).

The spelling of 13066041035454 in words is "thirteen trillion, sixty-six billion, forty-one million, thirty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 3539 7078 10617 21234 38929 77858 116787 145099 233574 290198 435297 870594 1364381 1596089 2728762 3192178 4093143 4788267 8186286 9576534 15008191 30016382 45024573 55939621 90049146 111879242 167818863 335637726 615335831 1230671662 1846007493 3692014986 4828544359 9657088718 14485633077 28971266154 53113987949 106227975898 159341963847 197970318719 318683927694 395940637438 593910956157 1187821912314 2177673505909 4355347011818 6533020517727 13066041035454