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1453668442096 = 241341337505811
BaseRepresentation
bin10101001001110101011…
…001000001111111110000
312010222011122122010121111
4111021311121001333300
5142304103110121341
63031450035403104
7210011154612163
oct25116531017760
95128148563544
101453668442096
11510551a36172
121b5892753494
13a710769b3a0
1450502223ada
1527c2ead5681
hex15275641ff0

1453668442096 has 80 divisors (see below), whose sum is σ = 3116340103968. Its totient is φ = 652616294400.

The previous prime is 1453668442067. The next prime is 1453668442111. The reversal of 1453668442096 is 6902448663541.

It is a super-2 number, since 2×14536684420962 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1453668442096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2621031 + ... + 3126841.

Almost surely, 21453668442096 is an apocalyptic number.

1453668442096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453668442096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558170051984).

1453668442096 is an abundant number, since it is smaller than the sum of its proper divisors (1662671661872).

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

1453668442096 is a wasteful number, since it uses less digits than its factorization.

1453668442096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506210 (or 506204 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 58.

The spelling of 1453668442096 in words is "one trillion, four hundred fifty-three billion, six hundred sixty-eight million, four hundred forty-two thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 337 533 656 674 1066 1348 2132 2696 4264 4381 5392 8528 8762 13817 17524 27634 35048 55268 70096 110536 179621 221072 359242 505811 718484 1011622 1436968 2023244 2873936 4046488 6575543 8092976 13151086 20738251 26302172 41476502 52604344 82953004 105208688 165906008 170458307 269597263 331812016 340916614 539194526 681833228 1078389052 1363666456 2156778104 2215957991 2727332912 4313556208 4431915982 6988790587 8863831964 13977581174 17727663928 27955162348 35455327856 55910324696 90854277631 111820649392 181708555262 363417110524 726834221048 1453668442096