Search a number
-
+
56456023040505 = 335112271138314713
BaseRepresentation
bin11001101011000101100010…
…01100101110000111111001
321101220010212022111111222000
430311202301030232013321
524344433413344244010
6320023312224451213
714614545611006034
oct1465426114560771
9241803768444860
1056456023040505
1116a96957223410
1263b967ba79b09
132566a1ac35bca
14dd26b3bb601b
1567d83da207c0
hex3358b132e1f9

56456023040505 has 128 divisors (see below), whose sum is σ = 109989942128640. Its totient is φ = 27247786836480.

The previous prime is 56456023040441. The next prime is 56456023040513. The reversal of 56456023040505 is 50504032065465.

56456023040505 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 6 + 0 + 230 + 405 + 0 + 5 = 666.

It is not a de Polignac number, because 56456023040505 - 26 = 56456023040441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3837145029 + ... + 3837159741.

It is an arithmetic number, because the mean of its divisors is an integer number (859296422880).

Almost surely, 256456023040505 is an apocalyptic number.

56456023040505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56456023040505 is a deficient number, since it is larger than the sum of its proper divisors (53533919088135).

56456023040505 is a wasteful number, since it uses less digits than its factorization.

56456023040505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26348 (or 26342 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 56456023040505 in words is "fifty-six trillion, four hundred fifty-six billion, twenty-three million, forty thousand, five hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 227 297 495 681 1135 1485 2043 2497 3405 6129 7491 10215 11383 12485 14713 22473 30645 34149 37455 44139 56915 67419 73565 102447 112365 125213 132417 161843 170745 220695 307341 337095 375639 397251 485529 512235 626065 662085 809215 1126917 1456587 1536705 1878195 1986255 2427645 2583941 3339851 3380751 4369761 5634585 7282935 7751823 10019553 12919705 16699255 16903755 21848805 23255469 28423351 30058659 36738361 38759115 50097765 69766407 85270053 90175977 110215083 116277345 142116755 150293295 167478079 183691805 255810159 330645249 348832035 426350265 450879885 502434237 551075415 767430477 837390395 991935747 1279050795 1507302711 1653226245 1842258869 2512171185 3837152385 4521908133 4959678735 5526776607 7536513555 9211294345 16580329821 22609540665 27633883035 38017523933 49740989463 82901649105 114052571799 190087619665 248704947315 342157715397 418192763263 570262858995 1026473146191 1254578289789 1710788576985 2090963816315 3763734869367 5132365730955 6272891448945 11291204608101 18818674346835 56456023040505