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11332800906 = 237397679669
BaseRepresentation
bin10101000110111110…
…01101000110001010
31002020210122221020220
422203133031012022
5141202144112111
65112313130510
7550560134610
oct124337150612
932223587226
1011332800906
114896086069
1222433b9a36
1310b7b6b26b
147971816b0
15464dcbe06
hex2a37cd18a

11332800906 has 32 divisors (see below), whose sum is σ = 25968831360. Its totient is φ = 3229782336.

The previous prime is 11332800893. The next prime is 11332800911. The reversal of 11332800906 is 60900823311.

11332800906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 323161 + ... + 356508.

It is an arithmetic number, because the mean of its divisors is an integer number (811525980).

Almost surely, 211332800906 is an apocalyptic number.

11332800906 is an abundant number, since it is smaller than the sum of its proper divisors (14636030454).

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

11332800906 is a wasteful number, since it uses less digits than its factorization.

11332800906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680078.

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 11332800906 in words is "eleven billion, three hundred thirty-two million, eight hundred thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 21 42 397 794 1191 2382 2779 5558 8337 16674 679669 1359338 2039007 4078014 4757683 9515366 14273049 28546098 269828593 539657186 809485779 1618971558 1888800151 3777600302 5666400453 11332800906