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1009172741305 = 52950913673501
BaseRepresentation
bin11101010111101110110…
…00011111110010111001
310120110211222112222000111
432223313120133302321
5113013241210210210
62051335122104321
7132624145524031
oct16536730376271
93513758488014
101009172741305
11359a95781233
12143701aab0a1
137421a77ab11
1436bb67868c1
151b3b6bb588a
hexeaf761fcb9

1009172741305 has 16 divisors (see below), whose sum is σ = 1255227483600. Its totient is φ = 777967456000.

The previous prime is 1009172741299. The next prime is 1009172741309. The reversal of 1009172741305 is 5031472719001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 91479631936 + 917693109369 = 302456^2 + 957963^2 .

It is not a de Polignac number, because 1009172741305 - 25 = 1009172741273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1009172741309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6762946 + ... + 6910555.

It is an arithmetic number, because the mean of its divisors is an integer number (78451717725).

Almost surely, 21009172741305 is an apocalyptic number.

It is an amenable number.

1009172741305 is a deficient number, since it is larger than the sum of its proper divisors (246054742295).

1009172741305 is a wasteful number, since it uses less digits than its factorization.

1009172741305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13674044.

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 1009172741305 in words is "one trillion, nine billion, one hundred seventy-two million, seven hundred forty-one thousand, three hundred five".

Divisors: 1 5 29 145 509 2545 14761 73805 13673501 68367505 396531529 1982657645 6959812009 34799060045 201834548261 1009172741305