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15225153152 = 271123372917
BaseRepresentation
bin11100010110111110…
…10110011010000000
31110022001210220202012
432023133112122000
5222140114400102
610554435512052
71046202444416
oct161337263200
943261726665
1015225153152
116503224a00
122b4aa58628
13158839c181
14a460b32b6
155e198b752
hex38b7d6680

15225153152 has 96 divisors (see below), whose sum is σ = 33449821860. Its totient is φ = 6897623040.

The previous prime is 15225153143. The next prime is 15225153211. The reversal of 15225153152 is 25135152251.

15225153152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14260181056 + 964972096 = 119416^2 + 31064^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 5217998 + ... + 5220914.

Almost surely, 215225153152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15225153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16724910930).

15225153152 is an abundant number, since it is smaller than the sum of its proper divisors (18224668708).

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

15225153152 is a wasteful number, since it uses less digits than its factorization.

15225153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3267 counting only the distinct ones).

The product of its digits is 15000, while the sum is 32.

Subtracting 15225153152 from its reverse (25135152251), we obtain a palindrome (9909999099).

The spelling of 15225153152 in words is "fifteen billion, two hundred twenty-five million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 337 352 484 674 704 968 1348 1408 1936 2696 2917 3707 3872 5392 5834 7414 7744 10784 11668 14828 15488 21568 23336 29656 32087 40777 43136 46672 59312 64174 81554 93344 118624 128348 163108 186688 237248 256696 326216 352957 373376 474496 513392 652432 705914 983029 1026784 1304864 1411828 1966058 2053568 2609728 2823656 3932116 4107136 5219456 5647312 7864232 10813319 11294624 15728464 21626638 22589248 31456928 43253276 45178496 62913856 86506552 118946509 125827712 173013104 237893018 346026208 475786036 692052416 951572072 1384104832 1903144144 3806288288 7612576576 15225153152