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6124142048 = 25299377043
BaseRepresentation
bin1011011010000011…
…01111110111100000
3120210210122122112212
411231001233313200
5100020240021143
62451405341252
7304522230353
oct55501576740
916723578485
106124142048
112662a11622
12122ab67828
13767a130bb
144214c629a
1525c9aa918
hex16d06fde0

6124142048 has 48 divisors (see below), whose sum is σ = 12487744080. Its totient is φ = 2952907776.

The previous prime is 6124142047. The next prime is 6124142069. The reversal of 6124142048 is 8402414216.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6124142047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866015 + ... + 873057.

It is an arithmetic number, because the mean of its divisors is an integer number (260161335).

Almost surely, 26124142048 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 6124142048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6243872040).

6124142048 is an abundant number, since it is smaller than the sum of its proper divisors (6363602032).

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

6124142048 is a wasteful number, since it uses less digits than its factorization.

6124142048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8019 (or 8011 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 6124142048 is about 78256.8977662672. The cubic root of 6124142048 is about 1829.5674222155.

The spelling of 6124142048 in words is "six billion, one hundred twenty-four million, one hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 937 1874 3748 7043 7496 14086 14992 27173 28172 29984 54346 56344 108692 112688 204247 217384 225376 408494 434768 816988 869536 1633976 3267952 6535904 6599291 13198582 26397164 52794328 105588656 191379439 211177312 382758878 765517756 1531035512 3062071024 6124142048