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120027262168413 = 32314255191011013
BaseRepresentation
bin11011010010101000000110…
…010100110010110101011101
3120201222111100021100200102200
4123102220012110302311131
5111213011313103342123
61103135432451442113
734165453306612545
oct3322500624626535
9521874307320380
10120027262168413
1135276304431906
12115661072b6339
1351c86a3520782
14218d4c9a38325
15dd22b7c25143
hex6d2a06532d5d

120027262168413 has 24 divisors (see below), whose sum is σ = 178965977748480. Its totient is φ = 77436684758880.

The previous prime is 120027262168403. The next prime is 120027262168427. The reversal of 120027262168413 is 314861262720021.

120027262168413 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 2 + 7 + 2 + 621 + 6 + 8 + 4 + 13 = 666.

It is not a de Polignac number, because 120027262168413 - 25 = 120027262168381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120027262168403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118214295 + ... + 119225307.

It is an arithmetic number, because the mean of its divisors is an integer number (7456915739520).

Almost surely, 2120027262168413 is an apocalyptic number.

It is an amenable number.

120027262168413 is a deficient number, since it is larger than the sum of its proper divisors (58938715580067).

120027262168413 is a wasteful number, since it uses less digits than its factorization.

120027262168413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436569 (or 1436566 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 120027262168413 in words is "one hundred twenty trillion, twenty-seven billion, two hundred sixty-two million, one hundred sixty-eight thousand, four hundred thirteen".

Divisors: 1 3 9 31 93 279 425519 1011013 1276557 3033039 3829671 9099117 13191089 31341403 39573267 94024209 118719801 282072627 430205240747 1290615722241 3871847166723 13336362463157 40009087389471 120027262168413