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13202320531456 = 2137400757457
BaseRepresentation
bin1100000000011110011110…
…1000000010000000000000
31201202010111102021102111101
43000013213220002000000
53212301323024001311
644025021243424144
72531556544631260
oct300074750020000
951663442242441
1013202320531456
114230088835591
121592846525054
13749c8698aa14
14338dd239b7a0
1517d6516d5ec1
hexc01e7a02000

13202320531456 has 112 divisors (see below), whose sum is σ = 30182946650496. Its totient is φ = 5656626855936.

The previous prime is 13202320531331. The next prime is 13202320531483. The reversal of 13202320531456 is 65413502320231.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229748680 + ... + 229806136.

Almost surely, 213202320531456 is an apocalyptic number.

13202320531456 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 13202320531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15091473325248).

13202320531456 is an abundant number, since it is smaller than the sum of its proper divisors (16980626119040).

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

13202320531456 is an frugal number, since it uses more digits than its factorization.

13202320531456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61497 (or 61473 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 13202320531456 its reverse (65413502320231), we get a palindrome (78615822851687).

The spelling of 13202320531456 in words is "thirteen trillion, two hundred two billion, three hundred twenty million, five hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4007 4096 7168 8014 8192 14336 16028 28049 28672 32056 56098 57344 57457 64112 112196 114914 128224 224392 229828 256448 402199 448784 459656 512896 804398 897568 919312 1025792 1608796 1795136 1838624 2051584 3217592 3590272 3677248 4103168 6435184 7180544 7354496 8206336 12870368 14361088 14708992 16412672 25740736 28722176 29417984 32825344 51481472 57444352 58835968 102962944 114888704 117671936 205925888 229777408 230230199 235343872 411851776 460460398 470687744 823703552 920920796 1611611393 1647407104 1841841592 3223222786 3294814208 3683683184 6446445572 7367366368 12892891144 14734732736 25785782288 29469465472 51571564576 58938930944 103143129152 117877861888 206286258304 235755723776 412572516608 471511447552 825145033216 943022895104 1650290066432 1886045790208 3300580132864 6601160265728 13202320531456