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6012414112 = 2519431511523
BaseRepresentation
bin1011001100101111…
…00010100010100000
3120112000102021122011
411212113202202200
544303134222422
62432334522304
7301664451055
oct54627424240
916460367564
106012414112
11260593a791
1211b9666394
1374a8243b3
1441072102c
15252c8b077
hex1665e28a0

6012414112 has 96 divisors (see below), whose sum is σ = 12842565120. Its totient is φ = 2761516800.

The previous prime is 6012414077. The next prime is 6012414137. The reversal of 6012414112 is 2114142106.

It is a super-2 number, since 2×60124141122 = 72298246908353497088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3946983 + ... + 3948505.

It is an arithmetic number, because the mean of its divisors is an integer number (133776720).

Almost surely, 26012414112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6012414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421282560).

6012414112 is an abundant number, since it is smaller than the sum of its proper divisors (6830151008).

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

6012414112 is a wasteful number, since it uses less digits than its factorization.

6012414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 6012414112 is about 77539.7582663243. The cubic root of 6012414112 is about 1818.3729483219.

Adding to 6012414112 its reverse (2114142106), we get a palindrome (8126556218).

The spelling of 6012414112 in words is "six billion, twelve million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 43 76 86 151 152 172 302 304 344 604 608 688 817 1208 1376 1523 1634 2416 2869 3046 3268 4832 5738 6092 6493 6536 11476 12184 12986 13072 22952 24368 25972 26144 28937 45904 48736 51944 57874 65489 91808 103888 115748 123367 130978 207776 229973 231496 246734 261956 459946 462992 493468 523912 919892 925984 986936 1047824 1244291 1839784 1973872 2095648 2488582 3679568 3947744 4369487 4977164 7359136 8738974 9888839 9954328 17477948 19777678 19908656 34955896 39555356 39817312 69911792 79110712 139823584 158221424 187887941 316442848 375775882 751551764 1503103528 3006207056 6012414112