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1312563139552 = 2572941889579
BaseRepresentation
bin10011000110011010110…
…111000001001111100000
311122110221210010001211001
4103012122313001033200
5133001112130431202
62442552211201344
7163554352413400
oct23063267011740
94573853101731
101312563139552
11466722745955
121924728a6254
1396a0ab20022
1447757cb6800
1524221d31d87
hex1319adc13e0

1312563139552 has 72 divisors (see below), whose sum is σ = 3009201836760. Its totient is φ = 561928631040.

The previous prime is 1312563139541. The next prime is 1312563139553. The reversal of 1312563139552 is 2559313652131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312563139553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1030699 + ... + 1920277.

It is an arithmetic number, because the mean of its divisors is an integer number (41794469955).

Almost surely, 21312563139552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312563139552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504600918380).

1312563139552 is an abundant number, since it is smaller than the sum of its proper divisors (1696638697208).

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

1312563139552 is an equidigital number, since it uses as much as digits as its factorization.

1312563139552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890544 (or 890529 counting only the distinct ones).

The product of its digits is 729000, while the sum is 46.

The spelling of 1312563139552 in words is "one trillion, three hundred twelve billion, five hundred sixty-three million, one hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 941 1568 1882 3764 6587 7528 13174 15056 26348 30112 46109 52696 92218 105392 184436 210784 368872 737744 889579 1475488 1779158 3558316 6227053 7116632 12454106 14233264 24908212 28466528 43589371 49816424 87178742 99632848 174357484 199265696 348714968 697429936 837093839 1394859872 1674187678 3348375356 5859656873 6696750712 11719313746 13393501424 23438627492 26787002848 41017598111 46877254984 82035196222 93754509968 164070392444 187509019936 328140784888 656281569776 1312563139552