Search a number
-
+
2007126737001 = 328912451201251
BaseRepresentation
bin11101001101010010000…
…100111000000001101001
321002212202010001121020100
4131031102010320001221
5230341043421041001
64134021123420013
7265003320524661
oct35152204700151
97085663047210
102007126737001
11704243798881
12284bb2824609
1311736abb2809
146d20719b1a1
15373239cd586
hex1d352138069

2007126737001 has 24 divisors (see below), whose sum is σ = 2932008187680. Its totient is φ = 1322937000000.

The previous prime is 2007126736981. The next prime is 2007126737017. The reversal of 2007126737001 is 1007376217002.

2007126737001 is a `hidden beast` number, since 20 + 0 + 7 + 1 + 267 + 370 + 0 + 1 = 666.

It is not a de Polignac number, because 2007126737001 - 211 = 2007126734953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2007126737041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9872626 + ... + 10073876.

It is an arithmetic number, because the mean of its divisors is an integer number (122167007820).

Almost surely, 22007126737001 is an apocalyptic number.

It is an amenable number.

2007126737001 is a deficient number, since it is larger than the sum of its proper divisors (924881450679).

2007126737001 is a wasteful number, since it uses less digits than its factorization.

2007126737001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213797 (or 213794 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 2007126737001 in words is "two trillion, seven billion, one hundred twenty-six million, seven hundred thirty-seven thousand, one".

Divisors: 1 3 9 89 267 801 12451 37353 112059 201251 603753 1108139 1811259 3324417 9973251 17911339 53734017 161202051 2505776201 7517328603 22551985809 223014081889 669042245667 2007126737001