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13525024050 = 232521715711261
BaseRepresentation
bin11001001100010011…
…10111110100110010
31021220120201102001200
430212021313310302
5210144401232200
610114024112030
7656106543666
oct144611676462
937816642050
1013525024050
11581058382a
122755605616
1313770a8c15
149243968a6
155425ae800
hex326277d32

13525024050 has 144 divisors (see below), whose sum is σ = 38723215752. Its totient is φ = 3372595200.

The previous prime is 13525024021. The next prime is 13525024109. The reversal of 13525024050 is 5042052531.

It is a happy number.

13525024050 is a `hidden beast` number, since 1 + 3 + 5 + 250 + 2 + 405 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4790439369 + 8734584681 = 69213^2 + 93459^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1195420 + ... + 1206680.

Almost surely, 213525024050 is an apocalyptic number.

13525024050 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 13525024050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19361607876).

13525024050 is an abundant number, since it is smaller than the sum of its proper divisors (25198191702).

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

13525024050 is a wasteful number, since it uses less digits than its factorization.

13525024050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11453 (or 11445 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 13525024050 its reverse (5042052531), we get a palindrome (18567076581).

The spelling of 13525024050 in words is "thirteen billion, five hundred twenty-five million, twenty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 157 170 225 255 306 314 425 450 471 510 765 785 850 942 1275 1413 1530 1570 2355 2550 2669 2826 3825 3925 4710 5338 7065 7650 7850 8007 11261 11775 13345 14130 16014 22522 23550 24021 26690 33783 35325 40035 48042 56305 66725 67566 70650 80070 101349 112610 120105 133450 168915 191437 200175 202698 240210 281525 337830 382874 400350 506745 563050 574311 600525 844575 957185 1013490 1148622 1201050 1689150 1722933 1767977 1914370 2533725 2871555 3445866 3535954 4785925 5067450 5303931 5743110 8614665 8839885 9571850 10607862 14357775 15911793 17229330 17679770 26519655 28715550 30055609 31823586 43073325 44199425 53039310 60111218 79558965 86146650 88398850 90166827 132598275 150278045 159117930 180333654 265196550 270500481 300556090 397794825 450834135 541000962 751390225 795589650 901668270 1352502405 1502780450 2254170675 2705004810 4508341350 6762512025 13525024050