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27000000072 = 2332616147541
BaseRepresentation
bin11001001001010100…
…110100111001001000
32120200200021010010200
4121021110310321020
5420244000000242
620223103412200
71644041133243
oct311124647110
976620233120
1027000000072
11104a5883751
1252962b4060
1327139b0906
141441c4225a
15a8058504c
hex649534e48

27000000072 has 48 divisors (see below), whose sum is σ = 74323782780. Its totient is φ = 8852457600.

The previous prime is 27000000023. The next prime is 27000000109.

27000000072 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 19659965796 + 7340034276 = 140214^2 + 85674^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 26999999991 and 27000000054.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3069379 + ... + 3078162.

Almost surely, 227000000072 is an apocalyptic number.

It is an amenable number.

27000000072 is an abundant number, since it is smaller than the sum of its proper divisors (47323782708).

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

27000000072 is a wasteful number, since it uses less digits than its factorization.

27000000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147614 (or 6147607 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

It can be divided in two parts, 270000000 and 72, that added together give a palindrome (270000072).

The spelling of 27000000072 in words is "twenty-seven billion, seventy-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 6147541 12295082 18442623 24590164 36885246 49180328 55327869 73770492 110655738 147540984 221311476 375000001 442622952 750000002 1125000003 1500000004 2250000006 3000000008 3375000009 4500000012 6750000018 9000000024 13500000036 27000000072