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427202225649 = 32251189111211
BaseRepresentation
bin1100011011101110011…
…11001010010111110001
31111211200110100121110200
412031313033022113301
523444402232210044
6524130510145413
742602320001223
oct6156717122761
91454613317420
10427202225649
111551a2579121
126a9651b2269
13313921a5254
1416968c06413
15b1a4ac7369
hex63773ca5f1

427202225649 has 12 divisors (see below), whose sum is σ = 619528330512. Its totient is φ = 283666815000.

The previous prime is 427202225627. The next prime is 427202225669. The reversal of 427202225649 is 946522202724.

427202225649 is a `hidden beast` number, since 42 + 7 + 20 + 2 + 22 + 564 + 9 = 666.

It is not a de Polignac number, because 427202225649 - 212 = 427202221553 is a prime.

It is a super-2 number, since 2×4272022256492 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (427202225669) 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 11 ways as a sum of consecutive naturals, for example, 94553347 + ... + 94557864.

It is an arithmetic number, because the mean of its divisors is an integer number (51627360876).

Almost surely, 2427202225649 is an apocalyptic number.

It is an amenable number.

427202225649 is a deficient number, since it is larger than the sum of its proper divisors (192326104863).

427202225649 is a wasteful number, since it uses less digits than its factorization.

427202225649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189111468 (or 189111465 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 427202225649 in words is "four hundred twenty-seven billion, two hundred two million, two hundred twenty-five thousand, six hundred forty-nine".

Divisors: 1 3 9 251 753 2259 189111211 567333633 1702000899 47466913961 142400741883 427202225649