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21427878144 = 28327900883
BaseRepresentation
bin10011111101001100…
…110111100100000000
32001022100022222211110
4103331030313210000
5322341014100034
613502133443320
71356000646641
oct237514674400
961270288743
1021427878144
1190a652a002
1241a01a0540
13203646764a
141073bb36c8
158562bade9
hex4fd337900

21427878144 has 36 divisors (see below), whose sum is σ = 57029406896. Its totient is φ = 7142625792.

The previous prime is 21427878139. The next prime is 21427878209. The reversal of 21427878144 is 44187872412.

It is a super-2 number, since 2×214278781442 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21427878093 and 21427878102.

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 3 ways as a sum of consecutive naturals, for example, 13949674 + ... + 13951209.

Almost surely, 221427878144 is an apocalyptic number.

21427878144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21427878144 is an abundant number, since it is smaller than the sum of its proper divisors (35601528752).

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

21427878144 is an equidigital number, since it uses as much as digits as its factorization.

21427878144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27900902 (or 27900888 counting only the distinct ones).

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

The spelling of 21427878144 in words is "twenty-one billion, four hundred twenty-seven million, eight hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 27900883 55801766 83702649 111603532 167405298 223207064 334810596 446414128 669621192 892828256 1339242384 1785656512 2678484768 3571313024 5356969536 7142626048 10713939072 21427878144