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5312974752 = 253247834729
BaseRepresentation
bin1001111001010110…
…11000111110100000
3111201021022002012200
410330223120332200
541340110143002
62235111253200
7245442353211
oct47453307640
914637262180
105312974752
112287043628
12104337a200
13668950257
14385891408
15211679b1c
hex13cad8fa0

5312974752 has 144 divisors (see below), whose sum is σ = 15619443840. Its totient is φ = 1712065536.

The previous prime is 5312974747. The next prime is 5312974757. The reversal of 5312974752 is 2574792135.

It is a happy number.

5312974752 is a `hidden beast` number, since 53 + 129 + 7 + 475 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5312974747) and next prime (5312974757).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5312974698 and 5312974707.

It is not an unprimeable number, because it can be changed into a prime (5312974757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121124 + ... + 1125852.

It is an arithmetic number, because the mean of its divisors is an integer number (108468360).

Almost surely, 25312974752 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 5312974752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809721920).

5312974752 is an abundant number, since it is smaller than the sum of its proper divisors (10306469088).

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

5312974752 is a wasteful number, since it uses less digits than its factorization.

5312974752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4864 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 5312974752 is about 72890.1553846608. The cubic root of 5312974752 is about 1744.9349873837.

The spelling of 5312974752 in words is "five billion, three hundred twelve million, nine hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 83 94 96 141 144 166 188 249 282 288 332 376 423 498 564 664 747 752 846 996 1128 1328 1494 1504 1692 1992 2256 2656 2988 3384 3901 3984 4512 4729 5976 6768 7802 7968 9458 11703 11952 13536 14187 15604 18916 23406 23904 28374 31208 35109 37832 42561 46812 56748 62416 70218 75664 85122 93624 113496 124832 140436 151328 170244 187248 222263 226992 280872 340488 374496 392507 444526 453984 561744 666789 680976 785014 889052 1123488 1177521 1333578 1361952 1570028 1778104 2000367 2355042 2667156 3140056 3532563 3556208 4000734 4710084 5334312 6280112 7065126 7112416 8001468 9420168 10668624 12560224 14130252 16002936 18447829 18840336 21337248 28260504 32005872 36895658 37680672 55343487 56521008 64011744 73791316 110686974 113042016 147582632 166030461 221373948 295165264 332060922 442747896 590330528 664121844 885495792 1328243688 1770991584 2656487376 5312974752