Search a number
-
+
42740782100082 = 232111741309702347
BaseRepresentation
bin10011011011111010111010…
…01000100110111001110010
312121022222102120222121010200
421231331131020212321302
521100231110204200312
6230522502204340030
712000630265361223
oct1155753510467162
9177288376877120
1042740782100082
111268929a2779a0
124963549544616
131ab05913a4921
14a7a94466724a
154e1bbc2770dc
hex26df5d226e72

42740782100082 has 96 divisors (see below), whose sum is σ = 109575168341184. Its totient is φ = 11892570086400.

The previous prime is 42740782100069. The next prime is 42740782100113. The reversal of 42740782100082 is 28000128704724.

42740782100082 is a `hidden beast` number, since 4 + 27 + 407 + 8 + 210 + 0 + 0 + 8 + 2 = 666.

It is a super-3 number, since 3×427407821000823 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154713168 + ... + 154989179.

It is an arithmetic number, because the mean of its divisors is an integer number (1141408003554).

Almost surely, 242740782100082 is an apocalyptic number.

42740782100082 is an abundant number, since it is smaller than the sum of its proper divisors (66834386241102).

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

42740782100082 is a wasteful number, since it uses less digits than its factorization.

42740782100082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309702424 (or 309702421 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 42740782100082 in words is "forty-two trillion, seven hundred forty billion, seven hundred eighty-two million, one hundred thousand, eighty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 41 51 66 82 99 102 123 153 187 198 246 306 369 374 451 561 697 738 902 1122 1353 1394 1683 2091 2706 3366 4059 4182 6273 7667 8118 12546 15334 23001 46002 69003 138006 309702347 619404694 929107041 1858214082 2787321123 3406725817 5264939899 5574642246 6813451634 10220177451 10529879798 12697796227 15794819697 20440354902 25395592454 30660532353 31589639394 38093388681 47384459091 57914338889 61321064706 76186777362 94768918182 114280166043 115828677778 139675758497 173743016667 215862535859 228560332086 279351516994 347486033334 419027275491 431725071718 521229050001 647587607577 838054550982 1042458100002 1257081826473 1295175215154 1942762822731 2374487894449 2514163652946 3885525645462 4748975788898 7123463683347 14246927366694 21370391050041 42740782100082