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5141403625 = 53241170669
BaseRepresentation
bin1001100100111001…
…11001011111101001
3111021022110100212111
410302130321133221
541012144404000
62210102042321
7241260131641
oct46234713751
914238410774
105141403625
1121a9208706
12bb5a193a1
1363c23aa87
1436ab8d521
15201588cba
hex1327397e9

5141403625 has 16 divisors (see below), whose sum is σ = 6443133840. Its totient is φ = 4096032000.

The previous prime is 5141403613. The next prime is 5141403637. The reversal of 5141403625 is 5263041415.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5141403613) and next prime (5141403637).

It can be written as a sum of positive squares in 8 ways, for example, as 56430144 + 5084973481 = 7512^2 + 71309^2 .

It is not a de Polignac number, because 5141403625 - 25 = 5141403593 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55210 + ... + 115459.

It is an arithmetic number, because the mean of its divisors is an integer number (402695865).

Almost surely, 25141403625 is an apocalyptic number.

It is an amenable number.

5141403625 is a deficient number, since it is larger than the sum of its proper divisors (1301730215).

5141403625 is a wasteful number, since it uses less digits than its factorization.

5141403625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170925 (or 170915 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 5141403625 is about 71703.5816748369. The cubic root of 5141403625 is about 1725.9461168459.

The spelling of 5141403625 in words is "five billion, one hundred forty-one million, four hundred three thousand, six hundred twenty-five".

Divisors: 1 5 25 125 241 1205 6025 30125 170669 853345 4266725 21333625 41131229 205656145 1028280725 5141403625