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6119133342 = 2372910946091
BaseRepresentation
bin1011011001011101…
…01001000010011110
3120210110020011220020
411230232221002132
5100012444231332
62451110133010
7304431526620
oct55456510236
916713204806
106119133342
1126601004a3
121229351166
1376697b37a
14420980c10
1525c31b82c
hex16cba909e

6119133342 has 64 divisors (see below), whose sum is σ = 14601945600. Its totient is φ = 1672513920.

The previous prime is 6119133311. The next prime is 6119133343. The reversal of 6119133342 is 2433319116.

It is a happy number.

6119133342 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×61191333424 (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6119133343) 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 31 ways as a sum of consecutive naturals, for example, 109717 + ... + 155807.

It is an arithmetic number, because the mean of its divisors is an integer number (228155400).

Almost surely, 26119133342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6119133342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7300972800).

6119133342 is an abundant number, since it is smaller than the sum of its proper divisors (8482812258).

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

6119133342 is a wasteful number, since it uses less digits than its factorization.

6119133342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46241.

The product of its digits is 11664, while the sum is 33.

The square root of 6119133342 is about 78224.8895301233. The cubic root of 6119133342 is about 1829.0685079936.

The spelling of 6119133342 in words is "six billion, one hundred nineteen million, one hundred thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 109 174 203 218 327 406 609 654 763 1218 1526 2289 3161 4578 6322 9483 18966 22127 44254 46091 66381 92182 132762 138273 276546 322637 645274 967911 1336639 1935822 2673278 4009917 5023919 8019834 9356473 10047838 15071757 18712946 28069419 30143514 35167433 56138838 70334866 105502299 145693651 211004598 291387302 437080953 874161906 1019855557 2039711114 3059566671 6119133342