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12457238544 = 24327121312
BaseRepresentation
bin10111001101000001…
…00110000000010000
31012011011111021201100
423212200212000100
5201003023113134
65420041504400
7620462531502
oct134640460020
935134437640
1012457238544
115312871773
1224b7aa2100
131236ac718a
14862641d72
154cd98d999
hex2e6826010

12457238544 has 135 divisors (see below), whose sum is σ = 35632900927. Its totient is φ = 4062676800.

The previous prime is 12457238533. The next prime is 12457238557. The reversal of 12457238544 is 44583275421.

The square root of 12457238544 is 111612.

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

12457238544 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 72 + 38 + 544 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12457238544.

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 26 ways as a sum of consecutive naturals, for example, 95093359 + ... + 95093489.

Almost surely, 212457238544 is an apocalyptic number.

12457238544 is the 111612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12457238544

12457238544 is an abundant number, since it is smaller than the sum of its proper divisors (23175662383).

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

12457238544 is an equidigital number, since it uses as much as digits as its factorization.

12457238544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 207 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

It can be divided in two parts, 12457 and 238544, that added together give a square (251001 = 5012).

The spelling of 12457238544 in words is "twelve billion, four hundred fifty-seven million, two hundred thirty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 131 142 144 213 262 284 393 426 524 568 639 786 852 1048 1136 1179 1278 1572 1704 2096 2358 2556 3144 3408 4716 5041 5112 6288 9301 9432 10082 10224 15123 17161 18602 18864 20164 27903 30246 34322 37204 40328 45369 51483 55806 60492 68644 74408 80656 83709 90738 102966 111612 120984 137288 148816 154449 167418 181476 205932 223224 241968 274576 308898 334836 362952 411864 446448 617796 660371 669672 725904 823728 1218431 1235592 1320742 1339344 1981113 2436862 2471184 2641484 3655293 3962226 4873724 5282968 5943339 7310586 7924452 9747448 10565936 10965879 11886678 14621172 15848904 19494896 21931758 23773356 29242344 31697808 43863516 47546712 58484688 86508601 87727032 95093424 173017202 175454064 259525803 346034404 519051606 692068808 778577409 1038103212 1384137616 1557154818 2076206424 3114309636 4152412848 6228619272 12457238544