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15161040450 = 23252371795087
BaseRepresentation
bin11100001111010101…
…10001111001000010
31110010121011122122200
432013222301321002
5222022211243300
610544225414030
71044463501053
oct160752617102
943117148580
1015161040450
1164800150a6
122b3149a316
13157801226a
14a3b78472a
155db025200
hex387ab1e42

15161040450 has 144 divisors (see below), whose sum is σ = 42075521280. Its totient is φ = 3910930560.

The previous prime is 15161040449. The next prime is 15161040457. The reversal of 15161040450 is 5404016151.

15161040450 is a `hidden beast` number, since 1 + 5 + 1 + 610 + 4 + 0 + 45 + 0 = 666.

15161040450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (15161040457) 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 71 ways as a sum of consecutive naturals, for example, 2977807 + ... + 2982893.

It is an arithmetic number, because the mean of its divisors is an integer number (292191120).

Almost surely, 215161040450 is an apocalyptic number.

15161040450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15161040450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21037760640).

15161040450 is an abundant number, since it is smaller than the sum of its proper divisors (26914480830).

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

15161040450 is a wasteful number, since it uses less digits than its factorization.

15161040450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 15161040450 in words is "fifteen billion, one hundred sixty-one million, forty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 179 185 222 225 333 358 370 450 537 555 666 895 925 1074 1110 1611 1665 1790 1850 2685 2775 3222 3330 4475 5087 5370 5550 6623 8055 8325 8950 10174 13246 13425 15261 16110 16650 19869 25435 26850 30522 33115 39738 40275 45783 50870 59607 66230 76305 80550 91566 99345 119214 127175 152610 165575 188219 198690 228915 254350 298035 331150 376438 381525 457830 496725 564657 596070 763050 910573 941095 993450 1129314 1144575 1490175 1693971 1821146 1882190 2289150 2731719 2823285 2980350 3387942 4552865 4705475 5463438 5646570 8195157 8469855 9105730 9410950 13658595 14116425 16390314 16939710 22764325 27317190 28232850 33691201 40975785 42349275 45528650 67382402 68292975 81951570 84698550 101073603 136585950 168456005 202147206 204878925 303220809 336912010 409757850 505368015 606441618 842280025 1010736030 1516104045 1684560050 2526840075 3032208090 5053680150 7580520225 15161040450