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11006275932 = 22321722677933
BaseRepresentation
bin10100100000000011…
…00111000101011100
31001102001020202012100
422100001213011130
5140020101312212
65020050405100
7536513542011
oct122001470534
931361222170
1011006275932
114738835013
122171b90790
131065314112
14765a65708
154463cdbdc
hex29006715c

11006275932 has 72 divisors (see below), whose sum is σ = 29474683056. Its totient is φ = 3450991104.

The previous prime is 11006275921. The next prime is 11006275961. The reversal of 11006275932 is 23957260011.

11006275932 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 62 + 7 + 593 + 2 = 666.

It is a super-2 number, since 2×110062759322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1383438 + ... + 1391370.

It is an arithmetic number, because the mean of its divisors is an integer number (409370598).

Almost surely, 211006275932 is an apocalyptic number.

11006275932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11006275932 is an abundant number, since it is smaller than the sum of its proper divisors (18468407124).

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

11006275932 is a wasteful number, since it uses less digits than its factorization.

11006275932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10227 (or 10222 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11006275932 in words is "eleven billion, six million, two hundred seventy-five thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 2267 4534 6801 7933 9068 13602 15866 20403 23799 27204 31732 38539 40806 47598 71397 77078 81612 95196 115617 134861 142794 154156 231234 269722 285588 346851 404583 462468 539444 693702 809166 1213749 1387404 1618332 2427498 4854996 17984111 35968222 53952333 71936444 107904666 161856999 215809332 305729887 323713998 611459774 647427996 917189661 1222919548 1834379322 2751568983 3668758644 5503137966 11006275932