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1006191481 = 71131251431
BaseRepresentation
bin111011111110010…
…100001101111001
32121010022211020011
4323332110031321
54030041111411
6243502101521
733635325601
oct7376241571
92533284204
101006191481
11476a72609
12240b7a8a1
131305c7399
14978bdc01
155d505c21
hex3bf94379

1006191481 has 16 divisors (see below), whose sum is σ = 1034643456. Its totient is φ = 978250000.

The previous prime is 1006191469. The next prime is 1006191503. The reversal of 1006191481 is 1841916001.

It is a cyclic number.

It is not a de Polignac number, because 1006191481 - 213 = 1006183289 is a prime.

It is a super-2 number, since 2×10061914812 = 2024842592873946722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006191581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2334336 + ... + 2334766.

It is an arithmetic number, because the mean of its divisors is an integer number (64665216).

Almost surely, 21006191481 is an apocalyptic number.

It is an amenable number.

1006191481 is a deficient number, since it is larger than the sum of its proper divisors (28451975).

1006191481 is a wasteful number, since it uses less digits than its factorization.

1006191481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884.

The product of its (nonzero) digits is 1728, while the sum is 31.

The square root of 1006191481 is about 31720.5214490557. The cubic root of 1006191481 is about 1002.0595822090.

The spelling of 1006191481 in words is "one billion, six million, one hundred ninety-one thousand, four hundred eighty-one".

Divisors: 1 71 131 251 431 9301 17821 30601 32881 56461 108181 2334551 4008731 7680851 14171711 1006191481