Search a number
-
+
27106104473280 = 2632573143372543
BaseRepresentation
bin1100010100111001000011…
…01110100111011011000000
310112222022121000201012100200
412022130201232213123000
512023101300221121110
6133352212242445200
75465231352311610
oct612344156473300
9115868530635320
1027106104473280
1187006a8358618
123059417663800
131218130036461
14699d2a15aa40
1532015a6926c0
hex18a721ba76c0

27106104473280 has 336 divisors, whose sum is σ = 109989995741184. Its totient is φ = 5995820206080.

The previous prime is 27106104473269. The next prime is 27106104473299. The reversal of 27106104473280 is 8237440160172.

27106104473280 is a `hidden beast` number, since 2 + 7 + 1 + 0 + 610 + 4 + 4 + 7 + 3 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 21061312 + ... + 22311231.

Almost surely, 227106104473280 is an apocalyptic number.

27106104473280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27106104473280 is an abundant number, since it is smaller than the sum of its proper divisors (82883891267904).

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

27106104473280 is a wasteful number, since it uses less digits than its factorization.

27106104473280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43372604 (or 43372591 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27106104473280 in words is "twenty-seven trillion, one hundred six billion, one hundred four million, four hundred seventy-three thousand, two hundred eighty".