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2001272414037 = 31379649552877
BaseRepresentation
bin11101000111110101001…
…000011001111101010101
321002022122010010011212220
4131013311020121331111
5230242101214222122
64131212153132553
7264405252563001
oct35076510317525
97068563104786
102001272414037
1170180a117336
12283a3a0ba159
131169470610a0
146cc0d86d701
15370cea6e25c
hex1d1f5219f55

2001272414037 has 16 divisors (see below), whose sum is σ = 2909996893440. Its totient is φ = 1215962983872.

The previous prime is 2001272414003. The next prime is 2001272414069. The reversal of 2001272414037 is 7304142721002.

It is not a de Polignac number, because 2001272414037 - 228 = 2001003978581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001272413989 and 2001272414007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001272414077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324773358 + ... + 324779519.

It is an arithmetic number, because the mean of its divisors is an integer number (181874805840).

Almost surely, 22001272414037 is an apocalyptic number.

It is an amenable number.

2001272414037 is a deficient number, since it is larger than the sum of its proper divisors (908724479403).

2001272414037 is a wasteful number, since it uses less digits than its factorization.

2001272414037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649552972.

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 2001272414037 in words is "two trillion, one billion, two hundred seventy-two million, four hundred fourteen thousand, thirty-seven".

Divisors: 1 3 13 39 79 237 1027 3081 649552877 1948658631 8444187401 25332562203 51314677283 153944031849 667090804679 2001272414037