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12326374148528 = 24112931314275407
BaseRepresentation
bin1011001101011111010100…
…1001110000100110110000
31121122101112012121200202102
42303113311021300212300
53103423403240223103
642114354052435532
72411360020342226
oct263276511604660
947571465550672
1012326374148528
113a2264994a270
121470b25918ba8
136b54ab65182b
143088577aab16
15165985c3be88
hexb35f52709b0

12326374148528 has 160 divisors (see below), whose sum is σ = 27061927925760. Its totient is φ = 5387635169280.

The previous prime is 12326374148521. The next prime is 12326374148563. The reversal of 12326374148528 is 82584147362321.

It is a happy number.

12326374148528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12326374148521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2279704001 + ... + 2279709407.

It is an arithmetic number, because the mean of its divisors is an integer number (169137049536).

Almost surely, 212326374148528 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 12326374148528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530963962880).

12326374148528 is an abundant number, since it is smaller than the sum of its proper divisors (14735553777232).

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

12326374148528 is a wasteful number, since it uses less digits than its factorization.

12326374148528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7195 (or 7189 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 56.

The spelling of 12326374148528 in words is "twelve trillion, three hundred twenty-six billion, three hundred seventy-four million, one hundred forty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 313 319 464 626 638 1252 1276 1427 2504 2552 2854 3443 5008 5104 5407 5708 6886 9077 10814 11416 13772 15697 18154 21628 22832 27544 31394 36308 41383 43256 55088 59477 62788 72616 82766 86512 99847 118954 125576 145232 156803 165532 199694 237908 251152 313606 331064 399388 446651 455213 475816 627212 662128 798776 893302 910426 951632 1254424 1597552 1692391 1724833 1786604 1820852 2508848 3384782 3449666 3573208 3641704 4913161 6769564 6899332 7146416 7283408 7715789 9826322 12952879 13539128 13798664 15431578 18616301 19652644 25905758 27078256 27597328 30863156 37232602 39305288 49079339 51811516 61726312 74465204 78610576 84873679 98158678 103623032 123452624 142481669 148930408 169747358 196317356 207246064 223757881 284963338 297860816 339494716 392634712 447515762 539872729 569926676 678989432 785269424 895031524 1079745458 1139853352 1357978864 1790063048 2159490916 2279706704 2415041957 2461336691 3580126096 4318981832 4830083914 4922673382 8637963664 9660167828 9845346764 19320335656 19690693528 26565461527 38640671312 39381387056 53130923054 70036216753 106261846108 140072433506 212523692216 280144867012 425047384432 560289734024 770398384283 1120579468048 1540796768566 3081593537132 6163187074264 12326374148528