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27072124320 = 253556400259
BaseRepresentation
bin11001001101100111…
…111101010110100000
32120212200222102000010
4121031213331112200
5420420430434240
620234201324520
71645605155103
oct311547752640
976780872003
1027072124320
111053256576a
1252b6496740
132725914297
14144b65873a
15a86a80280
hex64d9fd5a0

27072124320 has 48 divisors (see below), whose sum is σ = 85277193120. Its totient is φ = 7219233024.

The previous prime is 27072124307. The next prime is 27072124327. The reversal of 27072124320 is 2342127072.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (27072124327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28199650 + ... + 28200609.

It is an arithmetic number, because the mean of its divisors is an integer number (1776608190).

Almost surely, 227072124320 is an apocalyptic number.

27072124320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27072124320 is an abundant number, since it is smaller than the sum of its proper divisors (58205068800).

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

27072124320 is a wasteful number, since it uses less digits than its factorization.

27072124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56400277 (or 56400269 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The spelling of 27072124320 in words is "twenty-seven billion, seventy-two million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 56400259 112800518 169200777 225601036 282001295 338401554 451202072 564002590 676803108 846003885 902404144 1128005180 1353606216 1692007770 1804808288 2256010360 2707212432 3384015540 4512020720 5414424864 6768031080 9024041440 13536062160 27072124320