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1913082906 = 2371959179227
BaseRepresentation
bin111001000000111…
…0101010000011010
311221022210200101110
41302001311100122
512404222123111
6513500001150
765256636120
oct16201652032
94838720343
101913082906
118a1981559
124548301b6
13246464727
14142111910
15b2e445a6
hex7207541a

1913082906 has 128 divisors (see below), whose sum is σ = 4727808000. Its totient is φ = 503976384.

The previous prime is 1913082901. The next prime is 1913082911. The reversal of 1913082906 is 6092803191.

It is an interprime number because it is at equal distance from previous prime (1913082901) and next prime (1913082911).

It is not an unprimeable number, because it can be changed into a prime (1913082901) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8427565 + ... + 8427791.

It is an arithmetic number, because the mean of its divisors is an integer number (36936000).

Almost surely, 21913082906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1913082906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363904000).

1913082906 is an abundant number, since it is smaller than the sum of its proper divisors (2814725094).

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

1913082906 is a wasteful number, since it uses less digits than its factorization.

1913082906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496.

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1913082906 is about 43738.8032072209. The cubic root of 1913082906 is about 1241.3986355942.

The spelling of 1913082906 in words is "one billion, nine hundred thirteen million, eighty-two thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 59 114 118 133 177 179 227 266 354 358 399 413 454 537 681 798 826 1074 1121 1239 1253 1362 1589 2242 2478 2506 3178 3363 3401 3759 4313 4767 6726 6802 7518 7847 8626 9534 10203 10561 12939 13393 15694 20406 21122 23541 23807 25878 26786 30191 31683 40179 40633 47082 47614 60382 63366 71421 73927 80358 81266 90573 93751 121899 142842 147854 181146 187502 200659 221781 243798 254467 281253 284431 401318 443562 508934 562506 568862 601977 763401 772027 853293 1203954 1404613 1526802 1544054 1706586 1781269 2316081 2397347 2809226 3562538 4213839 4632162 4794694 5343807 5404189 7192041 8427678 10687614 10808378 14384082 16212567 16781429 32425134 33562858 45549593 50344287 91099186 100688574 136648779 273297558 318847151 637694302 956541453 1913082906