Search a number
-
+
23162351127345 = 3251730277583173
BaseRepresentation
bin1010100010000111001111…
…01101100000101100110001
310001000022002002000120111100
411101003213231200230301
511013442443342033340
6121132345345435013
74610265440054613
oct521034755405461
9101008062016440
1023162351127345
117420109408721
12272102863ba69
13cc027b1b6c61
145a10c7004db3
152a278c687830
hex1510e7b60b31

23162351127345 has 24 divisors (see below), whose sum is σ = 42509726776296. Its totient is φ = 11626591938048.

The previous prime is 23162351127329. The next prime is 23162351127371. The reversal of 23162351127345 is 54372115326132.

It is a happy number.

23162351127345 is a `hidden beast` number, since 2 + 3 + 1 + 6 + 23 + 511 + 2 + 73 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 183251630241 + 22979099497104 = 428079^2 + 4793652^2 .

It is not a de Polignac number, because 23162351127345 - 24 = 23162351127329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 23162351127345.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15138790822 + ... + 15138792351.

It is an arithmetic number, because the mean of its divisors is an integer number (1771238615679).

Almost surely, 223162351127345 is an apocalyptic number.

It is an amenable number.

23162351127345 is a deficient number, since it is larger than the sum of its proper divisors (19347375648951).

23162351127345 is a wasteful number, since it uses less digits than its factorization.

23162351127345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30277583201 (or 30277583198 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 23162351127345 in words is "twenty-three trillion, one hundred sixty-two billion, three hundred fifty-one million, one hundred twenty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 30277583173 90832749519 151387915865 272498248557 454163747595 514718913941 1362491242785 1544156741823 2573594569705 4632470225469 7720783709115 23162351127345