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146164015261 = 111511992291931
BaseRepresentation
bin1000100000100000001…
…1011110000010011101
3111222021102101022001201
42020020003132002131
54343320441442021
6151051414035501
713363036426165
oct2101003360235
9458242338051
10146164015261
1156a9585a030
12243b2048b91
1310a24925cc4
1471081335a5
153c06e56591
hex22080de09d

146164015261 has 32 divisors (see below), whose sum is σ = 162102528000. Its totient is φ = 130691880000.

The previous prime is 146164015241. The next prime is 146164015279. The reversal of 146164015261 is 162510461641.

It is not a de Polignac number, because 146164015261 - 27 = 146164015133 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 146164015261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146164015201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75692466 + ... + 75694396.

It is an arithmetic number, because the mean of its divisors is an integer number (5065704000).

Almost surely, 2146164015261 is an apocalyptic number.

146164015261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146164015261 is a deficient number, since it is larger than the sum of its proper divisors (15938512739).

146164015261 is a wasteful number, since it uses less digits than its factorization.

146164015261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521.

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 146164015261 in words is "one hundred forty-six billion, one hundred sixty-four million, fifteen thousand, two hundred sixty-one".

Divisors: 1 11 151 199 229 1661 1931 2189 2519 21241 30049 34579 45571 291581 330539 380369 384269 442199 501281 3207391 4226959 4864189 6881221 58024619 66772049 75693431 87997601 638270809 734492539 967973611 13287637751 146164015261