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27189711413408 = 251750377992141
BaseRepresentation
bin1100010111010100110010…
…00101110010000010100000
310120021022101201220211000202
412023222121011302002200
512030434012110212113
6133454440405404332
75504251252501625
oct613523105620240
9116238351824022
1027189711413408
118733101293155
12307166b4096a8
131222c9550b26b
1469ddbbd7034c
15322400644258
hex18ba991720a0

27189711413408 has 48 divisors (see below), whose sum is σ = 56679735052584. Its totient is φ = 12794891427840.

The previous prime is 27189711413401. The next prime is 27189711413429. The reversal of 27189711413408 is 80431411798172.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25906593381904 + 1283118031504 = 5089852^2 + 1132748^2 .

It is a super-2 number, since 2×271897114134082 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27189711413401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26909018 + ... + 27901158.

Almost surely, 227189711413408 is an apocalyptic number.

It is an amenable number.

27189711413408 is an abundant number, since it is smaller than the sum of its proper divisors (29490023639176).

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

27189711413408 is a wasteful number, since it uses less digits than its factorization.

27189711413408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042545 (or 1042537 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 56.

The spelling of 27189711413408 in words is "twenty-seven trillion, one hundred eighty-nine billion, seven hundred eleven million, four hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 50377 100754 201508 403016 806032 856409 992141 1612064 1712818 1984282 3425636 3968564 6851272 7937128 13702544 15874256 16866397 27405088 31748512 33732794 67465588 134931176 269862352 539724704 49981087157 99962174314 199924348628 399848697256 799697394512 849678481669 1599394789024 1699356963338 3398713926676 6797427853352 13594855706704 27189711413408