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12002432431199 = 723835051177823
BaseRepresentation
bin1010111010101000100010…
…1110001011010001011111
31120111102101011010102002212
42232222020232023101133
53033121440200244244
641305501421311035
72346101315231450
oct256521056132137
946442334112085
1012002432431199
113908226228421
12141a19a40547b
13690a94621ca2
142d6cc6a81127
1515c326750d9e
hexaea88b8b45f

12002432431199 has 32 divisors (see below), whose sum is σ = 14488860524544. Its totient is φ = 9719963906400.

The previous prime is 12002432431189. The next prime is 12002432431247. The reversal of 12002432431199 is 99113423420021.

It is a cyclic number.

It is not a de Polignac number, because 12002432431199 - 28 = 12002432430943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002432431139) 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 31 ways as a sum of consecutive naturals, for example, 67407602 + ... + 67585424.

It is an arithmetic number, because the mean of its divisors is an integer number (452776891392).

Almost surely, 212002432431199 is an apocalyptic number.

12002432431199 is a deficient number, since it is larger than the sum of its proper divisors (2486428093345).

12002432431199 is a wasteful number, since it uses less digits than its factorization.

12002432431199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182987.

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 12002432431199 in words is "twelve trillion, two billion, four hundred thirty-two million, four hundred thirty-one thousand, one hundred ninety-nine".

Divisors: 1 7 23 83 161 581 1909 5051 13363 35357 116173 177823 419233 813211 1244761 2934631 4089929 9642359 14759309 28629503 67496513 103315163 339464107 898183973 2376248749 6287287811 20658231379 74549269759 144607619653 521844888313 1714633204457 12002432431199