Search a number
-
+
26470115712 = 273413119489
BaseRepresentation
bin11000101001101111…
…011110100110000000
32112022202012012110000
4120221233132212000
5413202322200322
620054334240000
71624645162005
oct305157364600
975282165400
1026470115712
1110253765797
125168956000
13265ac94381
1413d170b8ac
15a4dcb73ac
hex629bde980

26470115712 has 160 divisors (see below), whose sum is σ = 79380041400. Its totient is φ = 8755568640.

The previous prime is 26470115699. The next prime is 26470115747. The reversal of 26470115712 is 21751107462.

26470115712 is a `hidden beast` number, since 2 + 6 + 4 + 70 + 11 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1348464 + ... + 1367952.

Almost surely, 226470115712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26470115712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39690020700).

26470115712 is an abundant number, since it is smaller than the sum of its proper divisors (52909925688).

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

26470115712 is a wasteful number, since it uses less digits than its factorization.

26470115712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19646 (or 19625 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 26470115712 in words is "twenty-six billion, four hundred seventy million, one hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 131 144 162 192 216 262 288 324 384 393 432 524 576 648 786 864 1048 1152 1179 1296 1572 1728 2096 2358 2592 3144 3456 3537 4192 4716 5184 6288 7074 8384 9432 10368 10611 12576 14148 16768 18864 19489 21222 25152 28296 37728 38978 42444 50304 56592 58467 75456 77956 84888 113184 116934 150912 155912 169776 175401 226368 233868 311824 339552 350802 452736 467736 526203 623648 679104 701604 935472 1052406 1247296 1358208 1403208 1578609 1870944 2104812 2494592 2553059 2806416 3157218 3741888 4209624 5106118 5612832 6314436 7483776 7659177 8419248 10212236 11225664 12628872 15318354 16838496 20424472 22451328 22977531 25257744 30636708 33676992 40848944 45955062 50515488 61273416 67353984 68932593 81697888 91910124 101030976 122546832 137865186 163395776 183820248 202061952 206797779 245093664 275730372 326791552 367640496 413595558 490187328 551460744 735280992 827191116 980374656 1102921488 1470561984 1654382232 2205842976 2941123968 3308764464 4411685952 6617528928 8823371904 13235057856 26470115712