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15150016530 = 23251134744101
BaseRepresentation
bin11100001110000001…
…01110100000010010
31110002211102120200100
432013000232200102
5222011401012110
610543153233230
71044301005255
oct160700564022
943084376610
1015150016530
116474875720
122b29862816
13157595262c
14a3a11509c
155da098bc0
hex38702e812

15150016530 has 96 divisors (see below), whose sum is σ = 43095768768. Its totient is φ = 3662064000.

The previous prime is 15150016507. The next prime is 15150016537. The reversal of 15150016530 is 3561005151.

15150016530 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 0 + 0 + 1 + 653 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 15150016494 and 15150016503.

It is not an unprimeable number, because it can be changed into a prime (15150016537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321480 + ... + 365580.

It is an arithmetic number, because the mean of its divisors is an integer number (448914258).

Almost surely, 215150016530 is an apocalyptic number.

15150016530 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 15150016530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21547884384).

15150016530 is an abundant number, since it is smaller than the sum of its proper divisors (27945752238).

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

15150016530 is a wasteful number, since it uses less digits than its factorization.

15150016530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44472 (or 44469 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 15150016530 in words is "fifteen billion, one hundred fifty million, sixteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 347 495 694 990 1041 1735 2082 3123 3470 3817 5205 6246 7634 10410 11451 15615 19085 22902 31230 34353 38170 44101 57255 68706 88202 114510 132303 171765 220505 264606 343530 396909 441010 485111 661515 793818 970222 1323030 1455333 1984545 2425555 2910666 3969090 4365999 4851110 7276665 8731998 14553330 15303047 21829995 30606094 43659990 45909141 76515235 91818282 137727423 153030470 168333517 229545705 275454846 336667034 459091410 505000551 688637115 841667585 1010001102 1377274230 1515001653 1683335170 2525002755 3030003306 5050005510 7575008265 15150016530