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2045410381 = 72277150697
BaseRepresentation
bin111100111101010…
…0111110001001101
312021112210121120001
41321322213301031
513142111113011
6534544124301
7101454462400
oct17172476115
95245717501
102045410381
1195a643103
12491006691
132679b6701
14155919d37
15be8827c1
hex79ea7c4d

2045410381 has 12 divisors (see below), whose sum is σ = 2387960508. Its totient is φ = 1746868032.

The previous prime is 2045410373. The next prime is 2045410391. The reversal of 2045410381 is 1830145402.

It can be written as a sum of positive squares in 2 ways, for example, as 1014422500 + 1030987881 = 31850^2 + 32109^2 .

It is not a de Polignac number, because 2045410381 - 23 = 2045410373 is a prime.

It is a super-2 number, since 2×20454103812 = 8367407253405130322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045410361) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 61776 + ... + 88921.

It is an arithmetic number, because the mean of its divisors is an integer number (198996709).

Almost surely, 22045410381 is an apocalyptic number.

It is an amenable number.

2045410381 is a deficient number, since it is larger than the sum of its proper divisors (342550127).

2045410381 is a wasteful number, since it uses less digits than its factorization.

2045410381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150988 (or 150981 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2045410381 is about 45226.2134276130. The cubic root of 2045410381 is about 1269.3853600930.

Adding to 2045410381 its reverse (1830145402), we get a palindrome (3875555783).

The spelling of 2045410381 in words is "two billion, forty-five million, four hundred ten thousand, three hundred eighty-one".

Divisors: 1 7 49 277 1939 13573 150697 1054879 7384153 41743069 292201483 2045410381