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19307338467468 = 223172293131320421
BaseRepresentation
bin1000110001111010101110…
…00011010000100010001100
32112100202121121120212210020
410120331113003100202030
510012312412121424333
6105021400245342140
74031623563110142
oct430752703204214
975322547525706
1019307338467468
116174218250697
1221b9a84707950
13aa089c2c894c
144aa6a181b592
152373651a43b3
hex118f570d088c

19307338467468 has 96 divisors (see below), whose sum is σ = 48061881927360. Its totient is φ = 6011481415680.

The previous prime is 19307338467397. The next prime is 19307338467481. The reversal of 19307338467468 is 86476483370391.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13961898 + ... + 15282318.

It is an arithmetic number, because the mean of its divisors is an integer number (500644603410).

Almost surely, 219307338467468 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 19307338467468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24030940963680).

19307338467468 is an abundant number, since it is smaller than the sum of its proper divisors (28754543459892).

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

19307338467468 is a wasteful number, since it uses less digits than its factorization.

19307338467468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320987 (or 1320985 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 69.

The spelling of 19307338467468 in words is "nineteen trillion, three hundred seven billion, three hundred thirty-eight million, four hundred sixty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 229 313 458 626 687 916 939 1252 1374 1878 2748 3756 3893 5321 7786 10642 11679 15572 15963 21284 23358 31926 46716 63852 71677 143354 215031 286708 430062 860124 1218509 1320421 2437018 2640842 3655527 3961263 4874036 5281684 7311054 7922526 14622108 15845052 22447157 44894314 67341471 89788628 134682942 269365884 302376409 413291773 604752818 826583546 907129227 1209505636 1239875319 1653167092 1814258454 2479750638 3628516908 4959501276 5140398953 7025960141 10280797906 14051920282 15421196859 20561595812 21077880423 28103840564 30842393718 42155760846 61684787436 84311521692 94643816017 189287632034 283931448051 378575264068 567862896102 1135725792204 1608944872289 3217889744578 4826834616867 6435779489156 9653669233734 19307338467468