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5273749152 = 253273078521
BaseRepresentation
bin1001110100101011…
…10000011010100000
3111121112111012210200
410322111300122200
541300034433102
62231150425200
7244455061650
oct47225603240
914545435720
105273749152
112266991881
121032202200
13660798039
143805a0360
1520cecc51c
hex13a5706a0

5273749152 has 144 divisors (see below), whose sum is σ = 17197532352. Its totient is φ = 1501701120.

The previous prime is 5273749139. The next prime is 5273749177. The reversal of 5273749152 is 2519473725.

It is a happy number.

5273749152 is a `hidden beast` number, since 527 + 3 + 74 + 9 + 1 + 52 = 666.

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 = 5273749098 and 5273749107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614652 + ... + 623172.

It is an arithmetic number, because the mean of its divisors is an integer number (119427308).

Almost surely, 25273749152 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 5273749152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598766176).

5273749152 is an abundant number, since it is smaller than the sum of its proper divisors (11923783200).

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

5273749152 is a wasteful number, since it uses less digits than its factorization.

5273749152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8851 (or 8840 counting only the distinct ones).

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

The square root of 5273749152 is about 72620.5835283634. The cubic root of 5273749152 is about 1740.6301007695.

The spelling of 5273749152 in words is "five billion, two hundred seventy-three million, seven hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 307 336 504 614 672 921 1008 1228 1842 2016 2149 2456 2763 3684 4298 4912 5526 6447 7368 8521 8596 9824 11052 12894 14736 17042 17192 19341 22104 25563 25788 29472 34084 34384 38682 44208 51126 51576 59647 68168 68768 76689 77364 88416 102252 103152 119294 136336 153378 154728 178941 204504 206304 238588 272672 306756 309456 357882 409008 477176 536823 613512 618912 715764 818016 954352 1073646 1227024 1431528 1908704 2147292 2454048 2615947 2863056 4294584 5231894 5726112 7847841 8589168 10463788 15695682 17178336 18311629 20927576 23543523 31391364 36623258 41855152 47087046 54934887 62782728 73246516 83710304 94174092 109869774 125565456 146493032 164804661 188348184 219739548 251130912 292986064 329609322 376696368 439479096 585972128 659218644 753392736 878958192 1318437288 1757916384 2636874576 5273749152