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27990148527 = 3211319120283
BaseRepresentation
bin11010000100010101…
…111100010110101111
32200020200101212110200
4122010111330112233
5424310434223102
620505234004543
72010423223365
oct320425742657
980220355420
1027990148527
1110963788960
125511a16753
132840b7b983
1414d7547635
15adc46c51c
hex68457c5af

27990148527 has 24 divisors (see below), whose sum is σ = 45528457728. Its totient is φ = 16416507600.

The previous prime is 27990148493. The next prime is 27990148531. The reversal of 27990148527 is 72584109972.

27990148527 is a `hidden beast` number, since 2 + 79 + 9 + 0 + 1 + 48 + 527 = 666.

It is not a de Polignac number, because 27990148527 - 28 = 27990148271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27990148597) 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 23 ways as a sum of consecutive naturals, for example, 4557073 + ... + 4563210.

It is an arithmetic number, because the mean of its divisors is an integer number (1897019072).

Almost surely, 227990148527 is an apocalyptic number.

27990148527 is a deficient number, since it is larger than the sum of its proper divisors (17538309201).

27990148527 is a wasteful number, since it uses less digits than its factorization.

27990148527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9120331 (or 9120328 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 27990148527 in words is "twenty-seven billion, nine hundred ninety million, one hundred forty-eight thousand, five hundred twenty-seven".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 9120283 27360849 82082547 100323113 282728773 300969339 848186319 902908017 2544558957 3110016503 9330049509 27990148527