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11233776864 = 253294035121
BaseRepresentation
bin10100111011001010…
…11101010011100000
31001222220022222210210
422131211131103200
5141001321324424
65054414454120
7545245346022
oct123545352340
931886288723
1011233776864
1148451a0912
122216204340
1310a04a9a5b
14787d66012
1545b36b729
hex29d95d4e0

11233776864 has 48 divisors (see below), whose sum is σ = 30505522320. Its totient is φ = 3615467520.

The previous prime is 11233776811. The next prime is 11233776877. The reversal of 11233776864 is 46867733211.

11233776864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 2014777 + ... + 2020344.

It is an arithmetic number, because the mean of its divisors is an integer number (635531715).

Almost surely, 211233776864 is an apocalyptic number.

It is an amenable number.

11233776864 is an abundant number, since it is smaller than the sum of its proper divisors (19271745456).

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

11233776864 is a wasteful number, since it uses less digits than its factorization.

11233776864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035163 (or 4035155 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The spelling of 11233776864 in words is "eleven billion, two hundred thirty-three million, seven hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 4035121 8070242 12105363 16140484 24210726 32280968 48421452 64561936 96842904 117018509 129123872 193685808 234037018 351055527 387371616 468074036 702111054 936148072 1404222108 1872296144 2808444216 3744592288 5616888432 11233776864