Search a number
-
+
1074867517269 = 34721341508097
BaseRepresentation
bin11111010010000110001…
…10001011011101010101
310210202102100212100210000
433221003012023131111
5120102312041023034
62141442021121513
7140441135102100
oct17510306133525
93722370770700
101074867517269
11384937767807
12154396b59299
137a489c97210
143a0496b5737
151ce5e35e599
hexfa4318b755

1074867517269 has 120 divisors (see below), whose sum is σ = 2060558920728. Its totient is φ = 553133629440.

The previous prime is 1074867517253. The next prime is 1074867517277. The reversal of 1074867517269 is 9627157684701.

1074867517269 is a `hidden beast` number, since 10 + 7 + 4 + 86 + 7 + 517 + 26 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77891228100 + 996976289169 = 279090^2 + 998487^2 .

It is not a de Polignac number, because 1074867517269 - 24 = 1074867517253 is a prime.

It is a super-2 number, since 2×10748675172692 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074867517249) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1861429 + ... + 2369525.

Almost surely, 21074867517269 is an apocalyptic number.

It is an amenable number.

1074867517269 is a deficient number, since it is larger than the sum of its proper divisors (985691403459).

1074867517269 is a wasteful number, since it uses less digits than its factorization.

1074867517269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508177 (or 508161 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 1074867517269 in words is "one trillion, seventy-four billion, eight hundred sixty-seven million, five hundred seventeen thousand, two hundred sixty-nine".

Divisors: 1 3 7 9 13 21 27 39 41 49 63 81 91 117 123 147 189 273 287 351 369 441 533 567 637 819 861 1053 1107 1323 1599 1911 2009 2457 2583 3321 3731 3969 4797 5733 6027 7371 7749 11193 14391 17199 18081 23247 26117 33579 43173 51597 54243 78351 100737 162729 235053 302211 508097 705159 1524291 2115477 3556679 4572873 6605261 10670037 13718619 19815783 20831977 24896753 32010111 41155857 46236827 59447349 62495931 74690259 96030333 138710481 145823839 178342047 187487793 224070777 270815701 288090999 323657789 416131443 437471517 535026141 562463379 672212331 812447103 970973367 1020766873 1248394329 1312414551 1687390137 1895709907 2016636993 2437341309 2912920101 3062300619 3745182987 3937243653 5687129721 7312023927 8738760303 9186901857 11811730959 13269969349 17061389163 21936071781 26216280909 27560705571 39809908047 51184167489 82682116713 119429724141 153552502467 358289172423 1074867517269