Search a number
-
+
79242813001 = 11215721632
BaseRepresentation
bin100100111001100111…
…1010101111001001001
321120112120022222201001
41021303033111321021
52244242130004001
6100223104255001
75503465540222
oct1116317257111
9246476288631
1079242813001
1130674558300
1213436311461
13761b2c1c81
143b9a396249
1520dbca2001
hex12733d5e49

79242813001 has 27 divisors (see below), whose sum is σ = 88201015623. Its totient is φ = 71140932720.

The previous prime is 79242812969. The next prime is 79242813019. The reversal of 79242813001 is 10031824297.

The square root of 79242813001 is 281501.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23227284025 + 56015528976 = 152405^2 + 236676^2 .

It is not a de Polignac number, because 79242813001 - 25 = 79242812969 is a prime.

It is a super-2 number, since 2×792428130012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79242813061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 486152146 + ... + 486152308.

Almost surely, 279242813001 is an apocalyptic number.

79242813001 is the 281501-st square number.

79242813001 is the 140751-st centered octagonal number.

It is an amenable number.

79242813001 is a deficient number, since it is larger than the sum of its proper divisors (8958202622).

79242813001 is an equidigital number, since it uses as much as digits as its factorization.

79242813001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 79242813001 in words is "seventy-nine billion, two hundred forty-two million, eight hundred thirteen thousand, one".

Divisors: 1 11 121 157 163 1727 1793 18997 19723 24649 25591 26569 271139 281501 292259 2982529 3096511 3214849 4017787 4171333 44195657 45884663 486152227 504731293 654899281 7203892091 79242813001