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13293756448 = 2572194091091
BaseRepresentation
bin11000110000101111…
…01010000000100000
31021022110112210112221
430120113222000200
5204211200201243
610035043200424
7650301031300
oct143027520040
937273483487
1013293756448
115701a84a85
1226b0076114
13133b1c499b
14901795600
1552c12abed
hex3185ea020

13293756448 has 144 divisors (see below), whose sum is σ = 32155250400. Its totient is φ = 5379333120.

The previous prime is 13293756439. The next prime is 13293756449. The reversal of 13293756448 is 84465739231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13293756395 and 13293756404.

It is not an unprimeable number, because it can be changed into a prime (13293756449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12184383 + ... + 12185473.

It is an arithmetic number, because the mean of its divisors is an integer number (223300350).

Almost surely, 213293756448 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 13293756448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16077625200).

13293756448 is an abundant number, since it is smaller than the sum of its proper divisors (18861493952).

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

13293756448 is a wasteful number, since it uses less digits than its factorization.

13293756448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1528 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The spelling of 13293756448 in words is "thirteen billion, two hundred ninety-three million, seven hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 409 532 608 784 818 931 1064 1091 1568 1636 1862 2128 2182 2863 3272 3724 4256 4364 5726 6544 7448 7637 7771 8728 11452 13088 14896 15274 15542 17456 20041 20729 22904 29792 30548 31084 34912 40082 41458 45808 53459 54397 61096 62168 80164 82916 91616 106918 108794 122192 124336 145103 160328 165832 213836 217588 244384 248672 290206 320656 331664 380779 427672 435176 446219 580412 641312 663328 761558 855344 870352 892438 1015721 1160824 1523116 1710688 1740704 1784876 2031442 2321648 3046232 3123533 3569752 4062884 4643296 6092464 6247066 7139504 8125768 8478161 12184928 12494132 14279008 16251536 16956322 21864731 24988264 32503072 33912644 43729462 49976528 59347127 67825288 87458924 99953056 118694254 135650576 174917848 237388508 271301152 349835696 415429889 474777016 699671392 830859778 949554032 1661719556 1899108064 3323439112 6646878224 13293756448