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5538765150 = 2335213131319
BaseRepresentation
bin1010010100010001…
…01101100101011110
3112022000011102102000
411022020231211132
542320410441100
62313334543130
7254153504232
oct51210554536
915260142360
105538765150
112392541266
1210a6b07aa6
136a3667439
143a78685c2
152263ca900
hex14a22d95e

5538765150 has 96 divisors (see below), whose sum is σ = 15379372800. Its totient is φ = 1465682400.

The previous prime is 5538765119. The next prime is 5538765241. The reversal of 5538765150 is 515678355.

5538765150 is a `hidden beast` number, since 5 + 53 + 87 + 6 + 515 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5538765096 and 5538765105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161191 + ... + 192509.

It is an arithmetic number, because the mean of its divisors is an integer number (160201800).

Almost surely, 25538765150 is an apocalyptic number.

5538765150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5538765150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689686400).

5538765150 is an abundant number, since it is smaller than the sum of its proper divisors (9840607650).

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

5538765150 is a wasteful number, since it uses less digits than its factorization.

5538765150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31471 (or 31460 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The square root of 5538765150 is about 74422.8805543027. The cubic root of 5538765150 is about 1769.3115679521.

The spelling of 5538765150 in words is "five billion, five hundred thirty-eight million, seven hundred sixty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 131 135 150 225 262 270 393 450 655 675 786 1179 1310 1350 1965 2358 3275 3537 3930 5895 6550 7074 9825 11790 17685 19650 29475 31319 35370 58950 62638 88425 93957 156595 176850 187914 281871 313190 469785 563742 782975 845613 939570 1409355 1565950 1691226 2348925 2818710 4102789 4228065 4697850 7046775 8205578 8456130 12308367 14093550 20513945 21140325 24616734 36925101 41027890 42280650 61541835 73850202 102569725 110775303 123083670 184625505 205139450 221550606 307709175 369251010 553876515 615418350 923127525 1107753030 1846255050 2769382575 5538765150