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6124028112 = 243334740853
BaseRepresentation
bin1011011010000010…
…10100000011010000
3120210210102212021000
411231001110003100
5100020222344422
62451403102000
7304521244236
oct55501240320
916723385230
106124028112
112662943a64
12122ab11900
137679a3297
14421496956
1525c986cac
hex16d0540d0

6124028112 has 80 divisors (see below), whose sum is σ = 17629318080. Its totient is φ = 2035410048.

The previous prime is 6124028087. The next prime is 6124028117. The reversal of 6124028112 is 2118204216.

6124028112 is a `hidden beast` number, since 612 + 40 + 2 + 8 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6124028117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129478 + ... + 170330.

It is an arithmetic number, because the mean of its divisors is an integer number (220366476).

Almost surely, 26124028112 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 6124028112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8814659040).

6124028112 is an abundant number, since it is smaller than the sum of its proper divisors (11505289968).

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

6124028112 is a wasteful number, since it uses less digits than its factorization.

6124028112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41217 (or 41205 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6124028112 is about 78256.1698014923. The cubic root of 6124028112 is about 1829.5560761426.

The spelling of 6124028112 in words is "six billion, one hundred twenty-four million, twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 347 432 694 1041 1388 2082 2776 3123 4164 5552 6246 8328 9369 12492 16656 18738 24984 37476 40853 49968 74952 81706 122559 149904 163412 245118 326824 367677 490236 653648 735354 980472 1103031 1470708 1960944 2206062 2941416 4412124 5882832 8824248 14175991 17648496 28351982 42527973 56703964 85055946 113407928 127583919 170111892 226815856 255167838 340223784 382751757 510335676 680447568 765503514 1020671352 1531007028 2041342704 3062014056 6124028112