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10552526320 = 245726174363
BaseRepresentation
bin10011101001111101…
…01100010111110000
31000020102102212202011
421310332230113300
5133102421320240
64503041132304
7522333664600
oct116476542760
930212385664
1010552526320
114525698236
12206602a094
13cc230381b
147216acc00
1541b64e6ea
hex274fac5f0

10552526320 has 120 divisors (see below), whose sum is σ = 28593085104. Its totient is φ = 3611317248.

The previous prime is 10552526311. The next prime is 10552526321. The reversal of 10552526320 is 2362525501.

It is a happy number.

It is a super-2 number, since 2×105525263202 (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 (10552526321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2416459 + ... + 2420821.

Almost surely, 210552526320 is an apocalyptic number.

10552526320 is a gapful number since it is divisible by the number (10) 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 10552526320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296542552).

10552526320 is an abundant number, since it is smaller than the sum of its proper divisors (18040558784).

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

10552526320 is a wasteful number, since it uses less digits than its factorization.

10552526320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 10552526320 in words is "ten billion, five hundred fifty-two million, five hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 617 784 980 1234 1960 2468 3085 3920 4319 4363 4936 6170 8638 8726 9872 12340 17276 17452 21595 21815 24680 30233 30541 34552 34904 43190 43630 49360 60466 61082 69104 69808 86380 87260 120932 122164 151165 152705 172760 174520 213787 241864 244328 302330 305410 345520 349040 427574 483728 488656 604660 610820 855148 1068935 1209320 1221640 1710296 2137870 2418640 2443280 2691971 3420592 4275740 5383942 8551480 10767884 13459855 17102960 18843797 21535768 26919710 37687594 43071536 53839420 75375188 94218985 107678840 131906579 150750376 188437970 215357680 263813158 301500752 376875940 527626316 659532895 753751880 1055252632 1319065790 1507503760 2110505264 2638131580 5276263160 10552526320