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145846377117 = 347571450481
BaseRepresentation
bin1000011111010100011…
…1110001101010011101
3111221110021200121110000
42013311013301222131
54342143133031432
6151000110004513
713352131515360
oct2076507615235
9457407617400
10145846377117
1156942528871
12243237a6739
13109a3b90b3c
1470b7c8c0d7
153bd911157c
hex21f51f1a9d

145846377117 has 40 divisors (see below), whose sum is σ = 249430081472. Its totient is φ = 83194646400.

The previous prime is 145846377091. The next prime is 145846377139. The reversal of 145846377117 is 711773648541.

145846377117 is a `hidden beast` number, since 1 + 458 + 4 + 6 + 3 + 77 + 117 = 666.

It is not a de Polignac number, because 145846377117 - 219 = 145845852829 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145846577117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98517 + ... + 548997.

Almost surely, 2145846377117 is an apocalyptic number.

It is an amenable number.

145846377117 is a deficient number, since it is larger than the sum of its proper divisors (103583704355).

145846377117 is an equidigital number, since it uses as much as digits as its factorization.

145846377117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451071 (or 451062 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 145846377117 in words is "one hundred forty-five billion, eight hundred forty-six million, three hundred seventy-seven thousand, one hundred seventeen".

Divisors: 1 3 7 9 21 27 63 81 189 567 571 1713 3997 5139 11991 15417 35973 46251 107919 323757 450481 1351443 3153367 4054329 9460101 12162987 28380303 36488961 85140909 255422727 257224651 771673953 1800572557 2315021859 5401717671 6945065577 16205153013 20835196731 48615459039 145846377117