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12550460230656 = 210329851138241
BaseRepresentation
bin1011011010100010000110…
…1110010100110000000000
31122102210221011010010102200
42312220201232110300000
53121111320304340111
642405333555113200
72433512050534065
oct266504156246000
948383834103380
1012550460230656
113aa9690679467
1214a84438a2800
13700670a498ba
143156346d4c6c
1516b6eda08256
hexb6a21b94c00

12550460230656 has 132 divisors (see below), whose sum is σ = 36243122456424. Its totient is φ = 4183031808000.

The previous prime is 12550460230621. The next prime is 12550460230661. The reversal of 12550460230656 is 65603206405521.

12550460230656 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 0 + 4 + 602 + 30 + 6 + 5 + 6 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 90717696 + ... + 90855936.

Almost surely, 212550460230656 is an apocalyptic number.

12550460230656 is a gapful number since it is divisible by the number (16) 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 12550460230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18121561228212).

12550460230656 is an abundant number, since it is smaller than the sum of its proper divisors (23692662225768).

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

12550460230656 is a wasteful number, since it uses less digits than its factorization.

12550460230656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148118 (or 148097 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 12550460230656 in words is "twelve trillion, five hundred fifty billion, four hundred sixty million, two hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 9851 19702 29553 39404 59106 78808 88659 118212 138241 157616 177318 236424 276482 315232 354636 414723 472848 552964 630464 709272 829446 945696 1105928 1244169 1260928 1418544 1658892 1891392 2211856 2488338 2521856 2837088 3317784 3782784 4423712 4976676 5043712 5674176 6635568 7565568 8847424 9953352 10087424 11348352 13271136 15131136 17694848 19906704 22696704 26542272 30262272 35389696 39813408 45393408 53084544 70779392 79626816 90786816 106169088 141558784 159253632 212338176 318507264 424676352 637014528 1274029056 1361812091 2723624182 4085436273 5447248364 8170872546 10894496728 12256308819 16341745092 21788993456 24512617638 32683490184 43577986912 49025235276 65366980368 87155973824 98050470552 130733960736 174311947648 196100941104 261467921472 348623895296 392201882208 522935842944 697247790592 784403764416 1045871685888 1394495581184 1568807528832 2091743371776 3137615057664 4183486743552 6275230115328 12550460230656