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420148186217 = 4147673254213
BaseRepresentation
bin1100001110100101100…
…10001000110001101001
31111011110211221021111222
412013102302020301221
523340430413424332
6521002521431425
742232443441464
oct6072262106151
91434424837458
10420148186217
11152202774971
126951693b575
133080992b416
141649a0202db
15ade0686712
hex61d2c88c69

420148186217 has 16 divisors (see below), whose sum is σ = 446113688832. Its totient is φ = 395191505280.

The previous prime is 420148186153. The next prime is 420148186223. The reversal of 420148186217 is 712681841024.

It is a cyclic number.

It is not a de Polignac number, because 420148186217 - 26 = 420148186153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420148186267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1497998 + ... + 1756215.

It is an arithmetic number, because the mean of its divisors is an integer number (27882105552).

Almost surely, 2420148186217 is an apocalyptic number.

420148186217 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

420148186217 is a deficient number, since it is larger than the sum of its proper divisors (25965502615).

420148186217 is a wasteful number, since it uses less digits than its factorization.

420148186217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254368.

The product of its (nonzero) digits is 172032, while the sum is 44.

The spelling of 420148186217 in words is "four hundred twenty billion, one hundred forty-eight million, one hundred eighty-six thousand, two hundred seventeen".

Divisors: 1 41 47 67 1927 2747 3149 129109 3254213 133422733 152948011 218032271 6270868451 8939323111 10247516737 420148186217