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9992001431 = 892573891123
BaseRepresentation
bin10010100111001000…
…11101011110010111
3221210100201021011002
421103210131132113
5130430423021211
64331255133515
7502416416336
oct112344353627
927710637132
109992001431
114268251625
121b2a37429b
13c331498a9
146ab07dd1d
153d732d03b
hex25391d797

9992001431 has 16 divisors (see below), whose sum is σ = 10178719200. Its totient is φ = 9807249408.

The previous prime is 9992001307. The next prime is 9992001433. The reversal of 9992001431 is 1341002999.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9992001431 is a prime.

It is a super-2 number, since 2×99920014312 (a number of 21 digits) 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 (9992001433) 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 15 ways as a sum of consecutive naturals, for example, 8897036 + ... + 8898158.

It is an arithmetic number, because the mean of its divisors is an integer number (636169950).

Almost surely, 29992001431 is an apocalyptic number.

9992001431 is a deficient number, since it is larger than the sum of its proper divisors (186717769).

9992001431 is a wasteful number, since it uses less digits than its factorization.

9992001431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858.

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 9992001431 is about 99959.9991546619. Note that the first 3 decimals coincide. The cubic root of 9992001431 is about 2153.8601236635.

The spelling of 9992001431 in words is "nine billion, nine hundred ninety-two million, one thousand, four hundred thirty-one".

Divisors: 1 89 257 389 1123 22873 34621 99947 99973 288611 436847 8897597 25686379 38879383 112269679 9992001431