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1326426643552 = 25192383409733
BaseRepresentation
bin10011010011010101001…
…100000101110001100000
311200210201221202001002011
4103103111030011301200
5133213010210043202
62453204010202304
7164555042304403
oct23232514056140
94623657661064
101326426643552
1147159729567a
121950a1723394
139810a07a72a
14482b11bbd3a
1524783ea1bd7
hex134d5305c60

1326426643552 has 144 divisors (see below), whose sum is σ = 2773809722880. Its totient is φ = 624281831424.

The previous prime is 1326426643547. The next prime is 1326426643589. The reversal of 1326426643552 is 2553466246231.

It is a junction number, because it is equal to n+sod(n) for n = 1326426643496 and 1326426643505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1809585778 + ... + 1809586510.

It is an arithmetic number, because the mean of its divisors is an integer number (19262567520).

Almost surely, 21326426643552 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 1326426643552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386904861440).

1326426643552 is an abundant number, since it is smaller than the sum of its proper divisors (1447383079328).

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

1326426643552 is a wasteful number, since it uses less digits than its factorization.

1326426643552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1546 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 49.

The spelling of 1326426643552 in words is "one trillion, three hundred twenty-six billion, four hundred twenty-six million, six hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 383 409 608 722 733 766 818 1444 1466 1532 1636 2888 2932 3064 3272 5776 5864 6128 6544 7277 7771 11552 11728 12256 13088 13927 14554 15542 23456 27854 29108 31084 55708 58216 62168 111416 116432 124336 138263 147649 156647 222832 232864 248672 264613 276526 280739 295298 299797 313294 445664 529226 553052 561478 590596 599594 626588 1058452 1106104 1122956 1181192 1199188 1253176 2116904 2212208 2245912 2362384 2398376 2506352 2976293 4233808 4424416 4491824 4724768 4796752 5012704 5334041 5696143 5952586 8467616 8983648 9593504 10668082 11392286 11905172 21336164 22784572 23810344 42672328 45569144 47620688 56549567 85344656 91138288 95241376 101346779 108226717 113099134 114822251 170689312 182276576 202693558 216453434 226198268 229644502 405387116 432906868 452396536 459289004 810774232 865813736 904793072 918578008 1621548464 1731627472 1809586144 1837156016 2181622769 3243096928 3463254944 3674312032 4363245538 8726491076 17452982152 34905964304 41450832611 69811928608 82901665222 165803330444 331606660888 663213321776 1326426643552