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10525224504 = 23329611731433
BaseRepresentation
bin10011100110101101…
…00010111000111000
31000011112001210200210
421303112202320320
5133023424141004
64500224031120
7521552634504
oct116326427070
930145053623
1010525224504
11451123aa53
122058a624a0
13cb97649c2
1471bc03304
1541905a089
hex2735a2e38

10525224504 has 128 divisors (see below), whose sum is σ = 27845985600. Its totient is φ = 3310325760.

The previous prime is 10525224503. The next prime is 10525224527. The reversal of 10525224504 is 40542252501.

10525224504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105252245042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10525224503) 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 31 ways as a sum of consecutive naturals, for example, 7344172 + ... + 7345604.

Almost surely, 210525224504 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 10525224504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13922992800).

10525224504 is an abundant number, since it is smaller than the sum of its proper divisors (17320761096).

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

10525224504 is a wasteful number, since it uses less digits than its factorization.

10525224504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 10525224504 in words is "ten billion, five hundred twenty-five million, two hundred twenty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 61 87 116 122 173 174 183 232 244 346 348 366 488 519 692 696 732 1038 1384 1433 1464 1769 2076 2866 3538 4152 4299 5017 5307 5732 7076 8598 10034 10553 10614 11464 14152 15051 17196 20068 21106 21228 30102 31659 34392 40136 41557 42212 42456 60204 63318 83114 84424 87413 120408 124671 126636 166228 174826 247909 249342 253272 262239 306037 332456 349652 495818 498684 524478 612074 699304 743727 918111 991636 997368 1048956 1224148 1487454 1836222 1983272 2097912 2448296 2534977 2974908 3672444 5069954 5949816 7189361 7344888 7604931 10139908 14378722 15122449 15209862 20279816 21568083 28757444 30244898 30419724 43136166 45367347 57514888 60489796 60839448 86272332 90734694 120979592 172544664 181469388 362938776 438551021 877102042 1315653063 1754204084 2631306126 3508408168 5262612252 10525224504