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991946007 = 34132233311
BaseRepresentation
bin111011000111111…
…110010100010111
32120010112002010000
4323013332110113
54012414233012
6242232502343
733403254603
oct7307762427
92503462100
10991946007
11469a22798
1223824a9b3
1312a67a300
1495a52503
155c13eddc
hex3b1fe517

991946007 has 60 divisors (see below), whose sum is σ = 1616616144. Its totient is φ = 605854080.

The previous prime is 991946003. The next prime is 991946057. The reversal of 991946007 is 700649199.

It is not a de Polignac number, because 991946007 - 22 = 991946003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991946003) 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 59 ways as a sum of consecutive naturals, for example, 3189382 + ... + 3189692.

Almost surely, 2991946007 is an apocalyptic number.

991946007 is a deficient number, since it is larger than the sum of its proper divisors (624670137).

991946007 is a wasteful number, since it uses less digits than its factorization.

991946007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 991946007 is about 31495.1743446516. The cubic root of 991946007 is about 997.3080958207.

The spelling of 991946007 in words is "nine hundred ninety-one million, nine hundred forty-six thousand, seven".

Divisors: 1 3 9 13 27 39 81 117 169 233 311 351 507 699 933 1053 1521 2097 2799 3029 4043 4563 6291 8397 9087 12129 13689 18873 25191 27261 36387 39377 52559 72463 81783 109161 118131 157677 217389 245349 327483 354393 473031 652167 942019 1063179 1419093 1956501 2826057 3189537 4257279 5869503 8478171 12246247 25434513 36738741 76303539 110216223 330648669 991946007