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11110013390892 = 223134710211484111
BaseRepresentation
bin1010000110101100000001…
…1001101101000000101100
31110100002212221020222112110
42201223000121231000230
52424011301412002032
635343511504204020
72224446326445303
oct241530031550054
943302787228473
1011110013390892
1135a3803a15879
1212b5241009610
1362789262c060
142a5a2844343a
15143ee4a497cc
hexa1ac066d02c

11110013390892 has 96 divisors (see below), whose sum is σ = 28539402522624. Its totient is φ = 3342453177600.

The previous prime is 11110013390869. The next prime is 11110013390911. The reversal of 11110013390892 is 29809331001111.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11110013390892.

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 31 ways as a sum of consecutive naturals, for example, 6743917 + ... + 8228027.

It is an arithmetic number, because the mean of its divisors is an integer number (297285442944).

Almost surely, 211110013390892 is an apocalyptic number.

11110013390892 is a gapful number since it is divisible by the number (12) 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 11110013390892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14269701261312).

11110013390892 is an abundant number, since it is smaller than the sum of its proper divisors (17429389131732).

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

11110013390892 is a wasteful number, since it uses less digits than its factorization.

11110013390892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485199 (or 1485197 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 11110013390892 in words is "eleven trillion, one hundred ten billion, thirteen million, three hundred ninety thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1021 1222 1833 2042 2444 3063 3666 4084 6126 7332 12252 13273 26546 39819 47987 53092 79638 95974 143961 159276 191948 287922 575844 623831 1247662 1484111 1871493 2495324 2968222 3742986 4452333 5936444 7485972 8904666 17809332 19293443 38586886 57880329 69753217 77173772 115760658 139506434 209259651 231521316 279012868 418519302 837038604 906791821 1515277331 1813583642 2720375463 3030554662 3627167284 4545831993 5440750926 6061109324 9091663986 10881501852 18183327972 19698605303 39397210606 59095815909 71218034557 78794421212 118191631818 142436069114 213654103671 236383263636 284872138228 427308207342 854616414684 925834449241 1851668898482 2777503347723 3703337796964 5555006695446 11110013390892