Search a number
-
+
57129817742442 = 2344572073137223
BaseRepresentation
bin11001111110101100100100…
…11111100001110001101010
321111021120001020002211210000
430333112102133201301222
524442003331320224232
6321301024223403430
715014331066325464
oct1477262237416152
9244246036084700
1057129817742442
111722668a820785
1264a8184453576
1325b541b23b803
141017152a25134
156911271c027c
hex33f5927e1c6a

57129817742442 has 80 divisors (see below), whose sum is σ = 128302861591872. Its totient is φ = 19000175365440.

The previous prime is 57129817742441. The next prime is 57129817742477. The reversal of 57129817742442 is 24424771892175.

It is a happy number.

57129817742442 is a `hidden beast` number, since 5 + 7 + 1 + 2 + 9 + 81 + 77 + 42 + 442 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57129817742442.

It is not an unprimeable number, because it can be changed into a prime (57129817742441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1534780243 + ... + 1534817465.

Almost surely, 257129817742442 is an apocalyptic number.

57129817742442 is an abundant number, since it is smaller than the sum of its proper divisors (71173043849430).

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

57129817742442 is a wasteful number, since it uses less digits than its factorization.

57129817742442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58425 (or 58416 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 57129817742442 in words is "fifty-seven trillion, one hundred twenty-nine billion, eight hundred seventeen million, seven hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 457 914 1371 2742 4113 8226 12339 20731 24678 37017 37223 41462 62193 74034 74446 111669 124386 186579 223338 335007 373158 559737 670014 1005021 1119474 1679211 2010042 3015063 3358422 6030126 9474067 17010911 18948134 28422201 34021822 51032733 56844402 85266603 102065466 153098199 170533206 255799809 306196398 459294597 511599618 767399427 771670013 918589194 1377883791 1534798854 1543340026 2315010039 2755767582 4630020078 6945030117 13890060234 20835090351 41670180702 62505271053 125010542106 352653195941 705306391882 1057959587823 2115919175646 3173878763469 6347757526938 9521636290407 19043272580814 28564908871221 57129817742442