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2623144212352 = 27227839107603
BaseRepresentation
bin100110001010111111100…
…101000011011110000000
3100021202210102121201012101
4212022333211003132000
5320434144404243402
65325020020040144
7360341646625606
oct46127745033600
910252712551171
102623144212352
11921518582704
12364471833054
13160491104491
1490d64841876
1548379b44b87
hex262bf943780

2623144212352 has 64 divisors (see below), whose sum is σ = 5255121110400. Its totient is φ = 1304225764864.

The previous prime is 2623144212341. The next prime is 2623144212407. The reversal of 2623144212352 is 2532124413262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 24324183 + ... + 24431785.

It is an arithmetic number, because the mean of its divisors is an integer number (82111267350).

Almost surely, 22623144212352 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 2623144212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627560555200).

2623144212352 is an abundant number, since it is smaller than the sum of its proper divisors (2631976898048).

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

2623144212352 is a wasteful number, since it uses less digits than its factorization.

2623144212352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108683 (or 108671 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The spelling of 2623144212352 in words is "two trillion, six hundred twenty-three billion, one hundred forty-four million, two hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 227 454 839 908 1678 1816 3356 3632 6712 7264 13424 14528 26848 29056 53696 107392 107603 190453 215206 380906 430412 761812 860824 1523624 1721648 3047248 3443296 6094496 6886592 12188992 13773184 24377984 24425881 48851762 90278917 97703524 180557834 195407048 361115668 390814096 722231336 781628192 1444462672 1563256384 2888925344 3126512768 5777850688 11555701376 20493314159 40986628318 81973256636 163946513272 327893026544 655786053088 1311572106176 2623144212352