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12529006880 = 2551329207709
BaseRepresentation
bin10111010101100100…
…10111100100100000
31012100011112111100212
423222302113210200
5201124411210010
65431124033252
7622323541565
oct135262274440
935304474325
1012529006880
11534a330345
122517b32828
131248934850
1486bda486c
154d4e18505
hex2eac97920

12529006880 has 96 divisors (see below), whose sum is σ = 32976039600. Its totient is φ = 4466552832.

The previous prime is 12529006849. The next prime is 12529006883. The reversal of 12529006880 is 8860092521.

It can be written as a sum of positive squares in 8 ways, for example, as 6624006544 + 5905000336 = 81388^2 + 76844^2 .

It is not an unprimeable number, because it can be changed into a prime (12529006883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43535 + ... + 164174.

Almost surely, 212529006880 is an apocalyptic number.

12529006880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12529006880 is an abundant number, since it is smaller than the sum of its proper divisors (20447032720).

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

12529006880 is a wasteful number, since it uses less digits than its factorization.

12529006880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207766 (or 207758 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 12529006880 in words is "twelve billion, five hundred twenty-nine million, six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 377 416 464 520 580 754 928 1040 1160 1508 1885 2080 2320 3016 3770 4640 6032 7540 12064 15080 30160 60320 207709 415418 830836 1038545 1661672 2077090 2700217 3323344 4154180 5400434 6023561 6646688 8308360 10800868 12047122 13501085 16616720 21601736 24094244 27002170 30117805 33233440 43203472 48188488 54004340 60235610 78306293 86406944 96376976 108008680 120471220 156612586 192753952 216017360 240942440 313225172 391531465 432034720 481884880 626450344 783062930 963769760 1252900688 1566125860 2505801376 3132251720 6264503440 12529006880