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6022135938 = 2371388312491
BaseRepresentation
bin1011001101111001…
…01000000010000010
3120112200201012110210
411212330220002002
544313131322223
62433323134550
7302143211430
oct54674500202
916480635423
106022135938
11261037a955
121200974456
1374c849460
14411b31d50
15253a5b893
hex166f28082

6022135938 has 64 divisors (see below), whose sum is σ = 14841695232. Its totient is φ = 1586329920.

The previous prime is 6022135921. The next prime is 6022135979. The reversal of 6022135938 is 8395312206.

It is a super-2 number, since 2×60221359382 = 72532242511502279688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 6022135896 and 6022135905.

It is an unprimeable number.

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, 475873 + ... + 488363.

It is an arithmetic number, because the mean of its divisors is an integer number (231901488).

Almost surely, 26022135938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6022135938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420847616).

6022135938 is an abundant number, since it is smaller than the sum of its proper divisors (8819559294).

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

6022135938 is a wasteful number, since it uses less digits than its factorization.

6022135938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13399.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 6022135938 is about 77602.4222431233. The cubic root of 6022135938 is about 1819.3524986035.

The spelling of 6022135938 in words is "six billion, twenty-two million, one hundred thirty-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 883 1766 2649 5298 6181 11479 12362 12491 18543 22958 24982 34437 37086 37473 68874 74946 80353 87437 160706 162383 174874 241059 262311 324766 482118 487149 524622 974298 1136681 2273362 3410043 6820086 11029553 22059106 33088659 66177318 77206871 143384189 154413742 231620613 286768378 430152567 463241226 860305134 1003689323 2007378646 3011067969 6022135938