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6022132116 = 22371113501343
BaseRepresentation
bin1011001101111001…
…00111000110010100
3120112200201000020020
411212330213012110
544313131211431
62433323105140
7302143164330
oct54674470624
916480630206
106022132116
112610377aa0
1212009721b0
1374c8477b0
14411b307c0
15253a5a696
hex166f27194

6022132116 has 96 divisors (see below), whose sum is σ = 18866577408. Its totient is φ = 1443864960.

The previous prime is 6022132087. The next prime is 6022132117. The reversal of 6022132116 is 6112312206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6022132117) 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, 238660 + ... + 262683.

It is an arithmetic number, because the mean of its divisors is an integer number (196526848).

Almost surely, 26022132116 is an apocalyptic number.

6022132116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6022132116 is an abundant number, since it is smaller than the sum of its proper divisors (12844445292).

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

6022132116 is a wasteful number, since it uses less digits than its factorization.

6022132116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501381 (or 501379 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6022132116 is about 77602.3976175994. The cubic root of 6022132116 is about 1819.3521137142.

The spelling of 6022132116 in words is "six billion, twenty-two million, one hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 501343 1002686 1504029 2005372 3008058 3509401 5514773 6016116 6517459 7018802 10528203 11029546 13034918 14037604 16544319 19552377 21056406 22059092 26069836 33088638 38603411 39104754 42112812 45622213 66177276 71692049 77206822 78209508 91244426 115810233 136866639 143384098 154413644 182488852 215076147 231620466 273733278 286768196 430152294 463240932 501844343 547466556 860304588 1003688686 1505533029 2007377372 3011066058 6022132116