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146127946446 = 23237219411331
BaseRepresentation
bin1000100000010111100…
…1111000001011001110
3111222011220111210221200
42020011321320023032
54343232223241241
6151044045010330
713362121023246
oct2100571701316
9458156453850
10146127946446
1156a77463a99
12243a1b539a6
1310a1a307901
147103424b26
153c03bce4b6
hex2205e782ce

146127946446 has 24 divisors (see below), whose sum is σ = 325167594024. Its totient is φ = 47392847280.

The previous prime is 146127946429. The next prime is 146127946453. The reversal of 146127946446 is 644649721641.

146127946446 is a `hidden beast` number, since 14 + 6 + 127 + 9 + 464 + 46 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 146127946392 and 146127946401.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 109705000 + ... + 109706331.

It is an arithmetic number, because the mean of its divisors is an integer number (13548649751).

Almost surely, 2146127946446 is an apocalyptic number.

146127946446 is an abundant number, since it is smaller than the sum of its proper divisors (179039647578).

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

146127946446 is a wasteful number, since it uses less digits than its factorization.

146127946446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219411376 (or 219411373 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 146127946446 in words is "one hundred forty-six billion, one hundred twenty-seven million, nine hundred forty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 219411331 438822662 658233993 1316467986 1974701979 3949403958 8118219247 16236438494 24354657741 48709315482 73063973223 146127946446