Search a number
-
+
269468784864 = 25321755038559
BaseRepresentation
bin1111101011110110010…
…1110101100011100000
3221202112202001121012100
43322331211311203200
513403333002103424
6323443043130400
725316454610326
oct3727545654340
9852482047170
10269468784864
11a43101164a4
1244284673a00
131c5456a2636
14d084337d16
157022102dc9
hex3ebd9758e0

269468784864 has 72 divisors (see below), whose sum is σ = 811378451520. Its totient is φ = 84539225088.

The previous prime is 269468784863. The next prime is 269468784887. The reversal of 269468784864 is 468487864962.

269468784864 is a `hidden beast` number, since 2 + 6 + 9 + 468 + 7 + 84 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2694687848642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 269468784792 and 269468784801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269468784863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27514384 + ... + 27524175.

It is an arithmetic number, because the mean of its divisors is an integer number (11269145160).

Almost surely, 2269468784864 is an apocalyptic number.

269468784864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

269468784864 is an abundant number, since it is smaller than the sum of its proper divisors (541909666656).

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

269468784864 is a wasteful number, since it uses less digits than its factorization.

269468784864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55038592 (or 55038581 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 269468784864 in words is "two hundred sixty-nine billion, four hundred sixty-eight million, seven hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 55038559 110077118 165115677 220154236 330231354 440308472 495347031 660462708 880616944 935655503 990694062 1320925416 1761233888 1871311006 1981388124 2641850832 2806966509 3742622012 3962776248 5283701664 5613933018 7485244024 7925552496 8420899527 11227866036 14970488048 15851104992 16841799054 22455732072 29940976096 33683598108 44911464144 67367196216 89822928288 134734392432 269468784864