Search a number
-
+
27708953472 = 273312763131
BaseRepresentation
bin11001110011100101…
…010001001110000000
32122112002021200101000
4121303211101032000
5423221443002342
620421311012000
72000440134624
oct316345211600
978462250330
1027708953472
1110829a88952
12545380a000
1327c7836375
1414ac06b184
15ac292544c
hex673951380

27708953472 has 128 divisors (see below), whose sum is σ = 82425139200. Its totient is φ = 9163445760.

The previous prime is 27708953413. The next prime is 27708953473. The reversal of 27708953472 is 27435980772.

27708953472 is a `hidden beast` number, since 27 + 7 + 0 + 89 + 534 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×277089534722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27708953473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407347 + ... + 470477.

It is an arithmetic number, because the mean of its divisors is an integer number (643946400).

Almost surely, 227708953472 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 27708953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41212569600).

27708953472 is an abundant number, since it is smaller than the sum of its proper divisors (54716185728).

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

27708953472 is a wasteful number, since it uses less digits than its factorization.

27708953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63281 (or 63263 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 27708953472 in words is "twenty-seven billion, seven hundred eight million, nine hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 288 381 384 432 508 576 762 864 1016 1143 1152 1524 1728 2032 2286 3048 3429 3456 4064 4572 6096 6858 8128 9144 12192 13716 16256 18288 24384 27432 36576 48768 54864 63131 73152 109728 126262 146304 189393 219456 252524 378786 438912 505048 568179 757572 1010096 1136358 1515144 1704537 2020192 2272716 3030288 3409074 4040384 4545432 6060576 6818148 8017637 8080768 9090864 12121152 13636296 16035274 18181728 24052911 24242304 27272592 32070548 36363456 48105822 54545184 64141096 72158733 72726912 96211644 109090368 128282192 144317466 192423288 216476199 218180736 256564384 288634932 384846576 432952398 513128768 577269864 769693152 865904796 1026257536 1154539728 1539386304 1731809592 2309079456 3078772608 3463619184 4618158912 6927238368 9236317824 13854476736 27708953472