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45011400025 = 5237414332741
BaseRepresentation
bin101001111010111000…
…110111010101011001
311022011220220000221211
4221322320313111121
51214140404300100
632402234303121
73152265405334
oct517270672531
9138156800854
1045011400025
11180a8842059
128882287aa1
1343243a3017
14226dd9961b
1512869411ba
hexa7ae37559

45011400025 has 48 divisors (see below), whose sum is σ = 58877825328. Its totient is φ = 34089984000.

The previous prime is 45011400023. The next prime is 45011400053. The reversal of 45011400025 is 52000411054.

It can be written as a sum of positive squares in 24 ways, for example, as 41993435929 + 3017964096 = 204923^2 + 54936^2 .

It is not a de Polignac number, because 45011400025 - 21 = 45011400023 is a prime.

It is a super-2 number, since 2×450114000252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45011399969 and 45011400005.

It is not an unprimeable number, because it can be changed into a prime (45011400023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16420155 + ... + 16422895.

It is an arithmetic number, because the mean of its divisors is an integer number (1226621361).

Almost surely, 245011400025 is an apocalyptic number.

It is an amenable number.

45011400025 is a deficient number, since it is larger than the sum of its proper divisors (13866425303).

45011400025 is a wasteful number, since it uses less digits than its factorization.

45011400025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 45011400025 its reverse (52000411054), we get a palindrome (97011811079).

The spelling of 45011400025 in words is "forty-five billion, eleven million, four hundred thousand, twenty-five".

Divisors: 1 5 25 37 41 185 205 433 925 1025 1517 2165 2741 7585 10825 13705 16021 17753 37925 68525 80105 88765 101417 112381 400525 443825 507085 561905 656861 1186853 2535425 2809525 3284305 4158097 5934265 16421525 20790485 29671325 43913561 48660973 103952425 219567805 243304865 1097839025 1216524325 1800456001 9002280005 45011400025