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13521030552 = 23325322315889
BaseRepresentation
bin11001001011110101…
…01000110110011000
31021220022012112000100
430211322220312120
5210142340434202
610113402335400
7656030602101
oct144572506630
937808175010
1013521030552
1158092a6417
1227541ba560
13137630b2c3
14923a373a8
1554207141c
hex325ea8d98

13521030552 has 96 divisors (see below), whose sum is σ = 37480060800. Its totient is φ = 4401865728.

The previous prime is 13521030541. The next prime is 13521030559. The reversal of 13521030552 is 25503012531.

It is a happy number.

13521030552 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 103 + 0 + 552 = 666.

13521030552 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 not an unprimeable number, because it can be changed into a prime (13521030559) 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 23 ways as a sum of consecutive naturals, for example, 843024 + ... + 858912.

It is an arithmetic number, because the mean of its divisors is an integer number (390417300).

Almost surely, 213521030552 is an apocalyptic number.

13521030552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13521030552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18740030400).

13521030552 is an abundant number, since it is smaller than the sum of its proper divisors (23959030248).

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

13521030552 is a wasteful number, since it uses less digits than its factorization.

13521030552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16177 (or 16170 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 13521030552 in words is "thirteen billion, five hundred twenty-one million, thirty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 223 318 424 446 477 636 669 892 954 1272 1338 1784 1908 2007 2676 3816 4014 5352 8028 11819 15889 16056 23638 31778 35457 47276 47667 63556 70914 94552 95334 106371 127112 141828 143001 190668 212742 283656 286002 381336 425484 572004 842117 850968 1144008 1684234 2526351 3368468 3543247 5052702 6736936 7086494 7579053 10105404 10629741 14172988 15158106 20210808 21259482 28345976 30316212 31889223 42518964 60632424 63778446 85037928 127556892 187792091 255113784 375584182 563376273 751168364 1126752546 1502336728 1690128819 2253505092 3380257638 4507010184 6760515276 13521030552