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12532354704 = 24321924912
BaseRepresentation
bin10111010101111110…
…01000111010010000
31012100101211120201100
423222333020322100
5201131240322304
65431323504400
7622364154162
oct135277107220
935311746640
1012532354704
115351207641
122519088100
1312495375cc
1486c5d6932
154d537a439
hex2eafc8e90

12532354704 has 135 divisors (see below), whose sum is σ = 37091843139. Its totient is φ = 3949525440.

The previous prime is 12532354649. The next prime is 12532354739. The reversal of 12532354704 is 40745323521.

The square root of 12532354704 is 111948.

It is a perfect power (a square), and thus also a powerful number.

12532354704 is a `hidden beast` number, since 1 + 2 + 532 + 3 + 54 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25523899 + ... + 25524389.

Almost surely, 212532354704 is an apocalyptic number.

12532354704 is the 111948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12532354704

12532354704 is an abundant number, since it is smaller than the sum of its proper divisors (24559488435).

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

12532354704 is an equidigital number, since it uses as much as digits as its factorization.

12532354704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Multiplying 12532354704 by its sum of digits (36), we get a square (451164769344 = 6716882).

12532354704 divided by its sum of digits (36) gives a square (348120964 = 186582).

It can be divided in two parts, 12532 and 354704, that added together give a square (367236 = 6062).

The spelling of 12532354704 in words is "twelve billion, five hundred thirty-two million, three hundred fifty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 491 684 722 912 982 1083 1368 1444 1473 1964 2166 2736 2888 2946 3249 3928 4332 4419 5776 5892 6498 7856 8664 8838 9329 11784 12996 17328 17676 18658 23568 25992 27987 35352 37316 51984 55974 70704 74632 83961 111948 149264 167922 177251 223896 241081 335844 354502 447792 482162 531753 671688 709004 723243 964324 1063506 1343376 1418008 1446486 1595259 1928648 2127012 2169729 2836016 2892972 3190518 3857296 4254024 4339458 4580539 5785944 6381036 8508048 8678916 9161078 11571888 12762072 13741617 17357832 18322156 25524144 27483234 34715664 36644312 41224851 54966468 73288624 82449702 87030241 109932936 164899404 174060482 219865872 261090723 329798808 348120964 522181446 659597616 696241928 783272169 1044362892 1392483856 1566544338 2088725784 3133088676 4177451568 6266177352 12532354704