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27418481472 = 263433321037
BaseRepresentation
bin11001100010010001…
…001101001101000000
32121202211201011200210
4121202101031031000
5422123112401342
620332413114120
71660312150524
oct314221151500
977684634623
1027418481472
11106a0021a48
125392488940
13277c5c3345
141481657d84
15aa719979c
hex66244d340

27418481472 has 56 divisors (see below), whose sum is σ = 74231841376. Its totient is φ = 8926944768.

The previous prime is 27418481393. The next prime is 27418481479.

27418481472 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27418481479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1652263 + ... + 1668774.

It is an arithmetic number, because the mean of its divisors is an integer number (1325568596).

Almost surely, 227418481472 is an apocalyptic number.

It is an amenable number.

27418481472 is an abundant number, since it is smaller than the sum of its proper divisors (46813359904).

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

27418481472 is a wasteful number, since it uses less digits than its factorization.

27418481472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321095 (or 3321085 counting only the distinct ones).

The product of its digits is 802816, while the sum is 48.

The spelling of 27418481472 in words is "twenty-seven billion, four hundred eighteen million, four hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 8256 3321037 6642074 9963111 13284148 19926222 26568296 39852444 53136592 79704888 106273184 142804591 159409776 212546368 285609182 318819552 428413773 571218364 637639104 856827546 1142436728 1713655092 2284873456 3427310184 4569746912 6854620368 9139493824 13709240736 27418481472