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19416375342 = 23272131799611
BaseRepresentation
bin10010000101010011…
…100110000000101110
31212010011100001201200
4102011103212000232
5304231043002332
612530400150330
71255104316200
oct220523460056
955104301650
1019416375342
1182640461a1
12391a6083a6
131aa57c36c0
14d229a2770
157898d517c
hex4854e602e

19416375342 has 144 divisors (see below), whose sum is σ = 55802243952. Its totient is φ = 4819530240.

The previous prime is 19416375281. The next prime is 19416375347. The reversal of 19416375342 is 24357361491.

19416375342 is a `hidden beast` number, since 1 + 9 + 4 + 1 + 637 + 5 + 3 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19416375347) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145117 + ... + 244727.

It is an arithmetic number, because the mean of its divisors is an integer number (387515583).

Almost surely, 219416375342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19416375342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27901121976).

19416375342 is an abundant number, since it is smaller than the sum of its proper divisors (36385868610).

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

19416375342 is a wasteful number, since it uses less digits than its factorization.

19416375342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99663 (or 99653 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 19416375342 in words is "nineteen billion, four hundred sixteen million, three hundred seventy-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 49 51 63 78 91 98 102 117 119 126 147 153 182 221 234 238 273 294 306 357 441 442 546 637 663 714 819 833 882 1071 1274 1326 1547 1638 1666 1911 1989 2142 2499 3094 3822 3978 4641 4998 5733 7497 9282 10829 11466 13923 14994 21658 27846 32487 64974 97461 99611 194922 199222 298833 597666 697277 896499 1294943 1394554 1693387 1792998 2091831 2589886 3386774 3884829 4183662 4880939 5080161 6275493 7769658 9064601 9761878 10160322 11654487 11853709 12550986 14642817 15240483 18129202 22014031 23308974 23707418 27193803 29285634 30480966 35561127 43928451 44028062 54387606 63452207 66042093 71122254 81581409 82975963 87856902 106683381 126904414 132084186 154098217 163162818 165951926 190356621 198126279 213366762 248927889 308196434 380713242 396252558 462294651 497855778 571069863 746783667 924589302 1078687519 1142139726 1386883953 1493567334 2157375038 2773767906 3236062557 6472125114 9708187671 19416375342