Search a number
-
+
15005141550 = 23252715730341
BaseRepresentation
bin11011111100110000…
…00100101000101110
31102201201211011120100
431332120010220232
5221212304012200
610520540131530
71040561412240
oct157630045056
942651734510
1015005141550
116400013a33
122aa9236ba6
1315519293a9
14a24ba2090
155cc4ccd00
hex37e604a2e

15005141550 has 144 divisors (see below), whose sum is σ = 46367916192. Its totient is φ = 3407788800.

The previous prime is 15005141537. The next prime is 15005141561. The reversal of 15005141550 is 5514150051.

15005141550 is a `hidden beast` number, since 1 + 500 + 5 + 1 + 4 + 155 + 0 = 666.

15005141550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 479380 + ... + 509720.

It is an arithmetic number, because the mean of its divisors is an integer number (321999418).

Almost surely, 215005141550 is an apocalyptic number.

15005141550 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 15005141550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23183958096).

15005141550 is an abundant number, since it is smaller than the sum of its proper divisors (31362774642).

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

15005141550 is a wasteful number, since it uses less digits than its factorization.

15005141550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30523 (or 30515 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The spelling of 15005141550 in words is "fifteen billion, five million, one hundred forty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 157 175 210 225 314 315 350 450 471 525 630 785 942 1050 1099 1413 1570 1575 2198 2355 2826 3150 3297 3925 4710 5495 6594 7065 7850 9891 10990 11775 14130 16485 19782 23550 27475 30341 32970 35325 49455 54950 60682 70650 82425 91023 98910 151705 164850 182046 212387 247275 273069 303410 424774 455115 494550 546138 637161 758525 910230 1061935 1274322 1365345 1517050 1911483 2123870 2275575 2730690 3185805 3822966 4551150 4763537 5309675 6371610 6826725 9527074 9557415 10619350 13653450 14290611 15929025 19114830 23817685 28581222 31858050 33344759 42871833 47635370 47787075 66689518 71453055 85743666 95574150 100034277 119088425 142906110 166723795 200068554 214359165 238176850 300102831 333447590 357265275 428718330 500171385 600205662 714530550 833618975 1000342770 1071795825 1500514155 1667237950 2143591650 2500856925 3001028310 5001713850 7502570775 15005141550