Search a number
-
+
2023232537745 = 33531694729223
BaseRepresentation
bin11101011100010010000…
…011101000010010010001
321011102022112222001101000
4131130102003220102101
5231122040012201440
64145243222532213
7266113405550166
oct35342203502221
97142275861330
102023232537745
11710059027301
12288148597069
13118a36860923
146dcd41d006d
1537967922730
hex1d7120e8491

2023232537745 has 32 divisors (see below), whose sum is σ = 3597993619200. Its totient is φ = 1078716621312.

The previous prime is 2023232537743. The next prime is 2023232537783. The reversal of 2023232537745 is 5477352323202.

2023232537745 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 232 + 5 + 377 + 45 = 666.

It is not a de Polignac number, because 2023232537745 - 21 = 2023232537743 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 2023232537745.

It is not an unprimeable number, because it can be changed into a prime (2023232537743) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1936797 + ... + 2792426.

It is an arithmetic number, because the mean of its divisors is an integer number (112437300600).

Almost surely, 22023232537745 is an apocalyptic number.

It is an amenable number.

2023232537745 is a deficient number, since it is larger than the sum of its proper divisors (1574761081455).

2023232537745 is a wasteful number, since it uses less digits than its factorization.

2023232537745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732406 (or 4732400 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 45.

The spelling of 2023232537745 in words is "two trillion, twenty-three billion, two hundred thirty-two million, five hundred thirty-seven thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 3169 9507 15845 28521 47535 85563 142605 427815 4729223 14187669 23646115 42563007 70938345 127689021 212815035 638445105 14986907687 44960723061 74934538435 134882169183 224803615305 404646507549 674410845915 2023232537745