Search a number
-
+
19348080448224 = 2531142143520299
BaseRepresentation
bin1000110011000110100110…
…11101100101001011100000
32112111122202222210221112110
410121203103131211023200
510013444332043320344
6105052215131355320
74034565320200143
oct431432335451340
975448688727473
1019348080448224
11618a525011870
122205954bb2b40
13aa4692cc8878
144ac64877005a
1523844bda23b9
hex1198d37652e0

19348080448224 has 96 divisors (see below), whose sum is σ = 55537473398400. Its totient is φ = 5849128051200.

The previous prime is 19348080448183. The next prime is 19348080448283. The reversal of 19348080448224 is 42284408084391.

It is a tau number, because it is divible by the number of its divisors (96).

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, 21315574 + ... + 22204725.

It is an arithmetic number, because the mean of its divisors is an integer number (578515347900).

Almost surely, 219348080448224 is an apocalyptic number.

It is an amenable number.

19348080448224 is an abundant number, since it is smaller than the sum of its proper divisors (36189392950176).

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

19348080448224 is a wasteful number, since it uses less digits than its factorization.

19348080448224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43520744 (or 43520736 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 57.

The spelling of 19348080448224 in words is "nineteen trillion, three hundred forty-eight billion, eighty million, four hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 421 528 842 1056 1263 1684 2526 3368 4631 5052 6736 9262 10104 13472 13893 18524 20208 27786 37048 40416 55572 74096 111144 148192 222288 444576 43520299 87040598 130560897 174081196 261121794 348162392 478723289 522243588 696324784 957446578 1044487176 1392649568 1436169867 1914893156 2088974352 2872339734 3829786312 4177948704 5744679468 7659572624 11489358936 15319145248 18322045879 22978717872 36644091758 45957435744 54966137637 73288183516 109932275274 146576367032 201542504669 219864550548 293152734064 403085009338 439729101096 586305468128 604627514007 806170018676 879458202192 1209255028014 1612340037352 1758916404384 2418510056028 3224680074704 4837020112056 6449360149408 9674040224112 19348080448224