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5747114624 = 271312331471
BaseRepresentation
bin1010101101000111…
…00000001010000000
3112211112012200011012
411112203200022000
543232230131444
62350140340052
7262263445136
oct52643401200
915745180135
105747114624
11248a107309
121144844628
13707885c54
143c73c1756
15239833b9e
hex1568e0280

5747114624 has 64 divisors (see below), whose sum is σ = 11594119680. Its totient is φ = 2837452800.

The previous prime is 5747114603. The next prime is 5747114669. The reversal of 5747114624 is 4264117475.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×57471146242 = 66058653002789322752, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3906209 + ... + 3907679.

It is an arithmetic number, because the mean of its divisors is an integer number (181158120).

Almost surely, 25747114624 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 5747114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797059840).

5747114624 is an abundant number, since it is smaller than the sum of its proper divisors (5847005056).

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

5747114624 is a wasteful number, since it uses less digits than its factorization.

5747114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1837 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 5747114624 is about 75809.7264472046. The cubic root of 5747114624 is about 1791.2242204324.

The spelling of 5747114624 in words is "five billion, seven hundred forty-seven million, one hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 131 233 262 466 524 932 1048 1471 1864 2096 2942 3728 4192 5884 7456 8384 11768 14912 16768 23536 29824 30523 47072 61046 94144 122092 188288 192701 244184 342743 385402 488368 685486 770804 976736 1370972 1541608 1953472 2741944 3083216 3906944 5483888 6166432 10967776 12332864 21935552 24665728 43871104 44899333 89798666 179597332 359194664 718389328 1436778656 2873557312 5747114624