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146627029427 = 29149271112517
BaseRepresentation
bin1000100010001110100…
…1101110100110110011
3112000110200121212002112
42020203221232212303
54400243004420202
6151205354035535
713410361120544
oct2104351564663
9460420555075
10146627029427
115720315446a
1224501118bab
1310a9982b498
14714d81c4cb
153c32915b52
hex2223a6e9b3

146627029427 has 16 divisors (see below), whose sum is σ = 152769672000. Its totient is φ = 140557683840.

The previous prime is 146627029411. The next prime is 146627029519. The reversal of 146627029427 is 724920726641.

146627029427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146627029427 - 24 = 146627029411 is a prime.

It is a super-3 number, since 3×1466270294273 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146627059427) 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 15 ways as a sum of consecutive naturals, for example, 11707973 + ... + 11720489.

It is an arithmetic number, because the mean of its divisors is an integer number (9548104500).

Almost surely, 2146627029427 is an apocalyptic number.

146627029427 is a deficient number, since it is larger than the sum of its proper divisors (6142642573).

146627029427 is a wasteful number, since it uses less digits than its factorization.

146627029427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15406.

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 146627029427 in words is "one hundred forty-six billion, six hundred twenty-seven million, twenty-nine thousand, four hundred twenty-seven".

Divisors: 1 29 149 2711 4321 12517 78619 362993 403939 1865033 11714231 33933587 54085957 984074023 5056104463 146627029427