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2906139681 = 331719133149
BaseRepresentation
bin1010110100111000…
…0010110000100001
321111112102012012000
42231032002300201
521422432432211
61200212354213
7132005531304
oct25516026041
97445365160
102906139681
111261492835
12691315969
133741104a3
141d7d72b3b
15120203656
hexad382c21

2906139681 has 32 divisors (see below), whose sum is σ = 4582656000. Its totient is φ = 1813858560.

The previous prime is 2906139679. The next prime is 2906139727. The reversal of 2906139681 is 1869316092.

It is a happy number.

2906139681 is a `hidden beast` number, since 29 + 0 + 613 + 9 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 2906139681 - 21 = 2906139679 is a prime.

It is a super-2 number, since 2×29061396812 = 16891295690965563522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2906139641) 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 31 ways as a sum of consecutive naturals, for example, 71095 + ... + 104243.

It is an arithmetic number, because the mean of its divisors is an integer number (143208000).

Almost surely, 22906139681 is an apocalyptic number.

It is an amenable number.

2906139681 is a deficient number, since it is larger than the sum of its proper divisors (1676516319).

2906139681 is a wasteful number, since it uses less digits than its factorization.

2906139681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33366 (or 33360 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2906139681 is about 53908.6234381847. The cubic root of 2906139681 is about 1427.0488113332.

The spelling of 2906139681 in words is "two billion, nine hundred six million, one hundred thirty-nine thousand, six hundred eighty-one".

Divisors: 1 3 9 17 27 51 153 191 459 573 1719 3247 5157 9741 29223 33149 87669 99447 298341 563533 895023 1690599 5071797 6331459 15215391 18994377 56983131 107634803 170949393 322904409 968713227 2906139681