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12903138528 = 253737795081
BaseRepresentation
bin11000000010001011…
…00100010011100000
31020022020112100111120
430001011210103200
5202411200413103
65532211012240
7634515603450
oct140105442340
936266470446
1012903138528
115521537a55
12260129a080
1312a82b9917
148a5953d60
15507bbc253
hex3011644e0

12903138528 has 96 divisors (see below), whose sum is σ = 38727279360. Its totient is φ = 3684910080.

The previous prime is 12903138511. The next prime is 12903138553. The reversal of 12903138528 is 82583130921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 12903138528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2536948 + ... + 2542028.

It is an arithmetic number, because the mean of its divisors is an integer number (403409160).

Almost surely, 212903138528 is an apocalyptic number.

It is an amenable number.

12903138528 is an abundant number, since it is smaller than the sum of its proper divisors (25824140832).

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

12903138528 is a wasteful number, since it uses less digits than its factorization.

12903138528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 12903138528 in words is "twelve billion, nine hundred three million, one hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3779 5081 7558 10162 11337 15116 15243 20324 22674 26453 30232 30486 35567 40648 45348 52906 60464 60972 71134 79359 81296 90696 105812 106701 120928 121944 142268 158718 162592 181392 211624 213402 243888 284536 317436 362784 423248 426804 487776 569072 634872 846496 853608 1138144 1269744 1707216 2539488 3414432 19201099 38402198 57603297 76804396 115206594 134407693 153608792 230413188 268815386 307217584 403223079 460826376 537630772 614435168 806446158 921652752 1075261544 1612892316 1843305504 2150523088 3225784632 4301046176 6451569264 12903138528