Search a number
-
+
1834745007681 = 3347103193257283
BaseRepresentation
bin11010101100101111010…
…100110000111001000001
320111101210112102102201000
4122230233110300321001
5220030024210221211
63522511545002213
7246361456150365
oct32545724607101
96441715372630
101834745007681
116481247a8173
12257704483369
13104028699051
1464b3309d2a5
1532ad501a656
hex1ab2f530e41

1834745007681 has 128 divisors (see below), whose sum is σ = 2838404874240. Its totient is φ = 1170633129984.

The previous prime is 1834745007673. The next prime is 1834745007709. The reversal of 1834745007681 is 1867005474381.

1834745007681 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 74 + 500 + 7 + 68 + 1 = 666.

It is not a de Polignac number, because 1834745007681 - 23 = 1834745007673 is a prime.

It is a super-2 number, since 2×18347450076812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1834745007581) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6483197766 + ... + 6483198048.

It is an arithmetic number, because the mean of its divisors is an integer number (22175038080).

Almost surely, 21834745007681 is an apocalyptic number.

It is an amenable number.

1834745007681 is a deficient number, since it is larger than the sum of its proper divisors (1003659866559).

1834745007681 is a wasteful number, since it uses less digits than its factorization.

1834745007681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1834745007681 in words is "one trillion, eight hundred thirty-four billion, seven hundred forty-five million, seven thousand, six hundred eighty-one".

Divisors: 1 3 9 27 47 103 141 193 257 283 309 423 579 771 849 927 1269 1737 2313 2547 2781 4841 5211 6939 7641 9071 12079 13301 14523 19879 26471 27213 29149 36237 39903 43569 49601 54619 59637 72731 79413 81639 87447 108711 119709 130707 148803 163857 178911 218193 238239 244917 262341 326133 359127 446409 491571 536733 654579 714717 787023 934313 1244137 1339227 1370003 1474713 1963737 2331247 2567093 2802939 3418357 3732411 4110009 5108903 5625757 6993741 7491293 7701279 8408817 10255071 11197233 12330027 14037083 15326709 16877271 20981223 22473879 23103837 25226451 30765213 33591699 36990081 42111249 45980127 50631813 62943669 67421637 69311511 92295639 126333747 137940381 151895439 202264911 240118441 264410579 352090771 379001241 659742901 720355323 793231737 1056272313 1445819549 1979228703 2161065969 2379695211 3168816939 4337458647 5937686109 6483197907 7139085633 9506450817 13012375941 17813058327 39037127823 67953518803 203860556409 611581669227 1834745007681