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1061016642 = 232739721211
BaseRepresentation
bin111111001111011…
…101010001000010
32201221111020012200
4333033131101002
54133110013032
6253141134030
735202330660
oct7717352102
92657436180
101061016642
114a4a09564
122573ba316
1313ba81aca
14a0cb1c30
156323547c
hex3f3dd442

1061016642 has 48 divisors (see below), whose sum is σ = 2634021312. Its totient is φ = 302369760.

The previous prime is 1061016641. The next prime is 1061016643. The reversal of 1061016642 is 2466101601.

1061016642 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 16 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (1061016641) and next prime (1061016643).

It is a super-3 number, since 3×10610166423 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1061016641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39417 + ... + 60627.

It is an arithmetic number, because the mean of its divisors is an integer number (54875444).

Almost surely, 21061016642 is an apocalyptic number.

1061016642 is an abundant number, since it is smaller than the sum of its proper divisors (1573004670).

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

1061016642 is a wasteful number, since it uses less digits than its factorization.

1061016642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21623 (or 21620 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1061016642 is about 32573.2504058161. The cubic root of 1061016642 is about 1019.9386872026.

The spelling of 1061016642 in words is "one billion, sixty-one million, sixteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 397 794 1191 2382 2779 3573 5558 7146 8337 16674 21211 25011 42422 50022 63633 127266 148477 190899 296954 381798 445431 890862 1336293 2672586 8420767 16841534 25262301 50524602 58945369 75786903 117890738 151573806 176836107 353672214 530508321 1061016642