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64400020531641 = 3283107805715329
BaseRepresentation
bin11101010010010010011000…
…10110001110100110111001
322110000120201011021201000100
432221021030112032212321
531420112220224003031
6344544543324430013
716364514354364554
oct1651111426164671
9273016634251010
1064400020531641
1119579993759873
1272811a46a8309
1329c1b85323652
1411c8d9886169b
1576a2d415ede6
hex3a924c58e9b9

64400020531641 has 24 divisors (see below), whose sum is σ = 95022843158880. Its totient is φ = 42019665785856.

The previous prime is 64400020531591. The next prime is 64400020531699. The reversal of 64400020531641 is 14613502000446.

64400020531641 is a `hidden beast` number, since 6 + 4 + 4 + 0 + 0 + 0 + 2 + 0 + 5 + 3 + 1 + 641 = 666.

64400020531641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64400020531641 - 27 = 64400020531513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 64400020531596 and 64400020531605.

It is not an unprimeable number, because it can be changed into a prime (64400020531141) 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 23 ways as a sum of consecutive naturals, for example, 402777736 + ... + 402937593.

It is an arithmetic number, because the mean of its divisors is an integer number (3959285131620).

Almost surely, 264400020531641 is an apocalyptic number.

It is an amenable number.

64400020531641 is a deficient number, since it is larger than the sum of its proper divisors (30622822627239).

64400020531641 is a wasteful number, since it uses less digits than its factorization.

64400020531641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805715525 (or 805715522 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 64400020531641 in words is "sixty-four trillion, four hundred billion, twenty million, five hundred thirty-one thousand, six hundred forty-one".

Divisors: 1 3 9 83 107 249 321 747 963 8881 26643 79929 805715329 2417145987 7251437961 66874372307 86211540203 200623116921 258634620609 601869350763 775903861827 7155557836849 21466673510547 64400020531641