Search a number
-
+
45923623151 = 7240111811979
BaseRepresentation
bin101010110001010000…
…101110000011101111
311101112111101202211112
4222301100232003233
51223022421420101
633032542342235
73214013233100
oct526120560357
9141474352745
1045923623151
111852676286a
128a9788a97b
13443b389113
1423191b83a7
1512dba846bb
hexab142e0ef

45923623151 has 24 divisors (see below), whose sum is σ = 53627009040. Its totient is φ = 39211872000.

The previous prime is 45923623139. The next prime is 45923623153. The reversal of 45923623151 is 15132632954.

45923623151 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45923623151 - 218 = 45923361007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45923623099 and 45923623108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45923623153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23204480 + ... + 23206458.

It is an arithmetic number, because the mean of its divisors is an integer number (2234458710).

Almost surely, 245923623151 is an apocalyptic number.

45923623151 is a deficient number, since it is larger than the sum of its proper divisors (7703385889).

45923623151 is a wasteful number, since it uses less digits than its factorization.

45923623151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3568 counting only the distinct ones).

The product of its digits is 194400, while the sum is 41.

The spelling of 45923623151 in words is "forty-five billion, nine hundred twenty-three million, six hundred twenty-three thousand, one hundred fifty-one".

Divisors: 1 7 49 401 1181 1979 2807 8267 13853 19649 57869 96971 473581 793579 2337199 3315067 5555053 16360393 23205469 38885371 114522751 937216799 6560517593 45923623151