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16318274049 = 3274112792
BaseRepresentation
bin11110011001010010…
…10001101000000001
31120010020201012201100
433030221101220001
5231404434232144
611255125125013
71115245020000
oct171451215001
946106635640
1016318274049
116a14270900
1231b4b59769
1317009b197c
14b0b340c37
15657914269
hex3cca51a01

16318274049 has 135 divisors (see below), whose sum is σ = 30612154209. Its totient is φ = 8369721360.

The previous prime is 16318273997. The next prime is 16318274081. The reversal of 16318274049 is 94047281361.

The square root of 16318274049 is 127743.

It is a perfect power (a square), and thus also a powerful number.

16318274049 is a `hidden beast` number, since 1 + 63 + 182 + 7 + 404 + 9 = 666.

It is not a de Polignac number, because 16318274049 - 29 = 16318273537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16318273995 and 16318274013.

It is not an unprimeable number, because it can be changed into a prime (16318674049) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 206560392 + ... + 206560470.

Almost surely, 216318274049 is an apocalyptic number.

16318274049 is the 127743-rd square number.

16318274049 is the 63872-nd centered octagonal number.

It is an amenable number.

16318274049 is a deficient number, since it is larger than the sum of its proper divisors (14293880160).

16318274049 is an frugal number, since it uses more digits than its factorization.

16318274049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16318274049 in words is "sixteen billion, three hundred eighteen million, two hundred seventy-four thousand, forty-nine".

Divisors: 1 3 7 9 11 21 33 49 63 77 79 99 121 147 231 237 343 363 441 539 553 693 711 847 869 1029 1089 1617 1659 2401 2541 2607 3087 3773 3871 4851 4977 5929 6083 6241 7203 7623 7821 9559 11319 11613 17787 18249 18723 21609 26411 27097 28677 33957 34839 41503 42581 43687 53361 54747 56169 66913 68651 79233 81291 86031 124509 127743 131061 189679 200739 205953 237699 243873 290521 298067 305809 373527 383229 393183 468391 480557 569037 602217 617859 755161 871563 894201 917427 1405173 1441671 1707111 2086469 2140663 2265483 2614689 2682603 2752281 3278737 3363899 4215519 4325013 5286127 6259407 6421989 6796449 9836211 10091697 14984641 15858381 18778221 19265967 22951159 23547293 29508633 30275091 37002889 44953923 47575143 68853477 70641879 111008667 134861769 164831051 206560431 211925637 259020223 333026001 494493153 777060669 1483479459 1813141561 2331182007 5439424683 16318274049