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513163424052 = 223230894614613
BaseRepresentation
bin1110111011110101110…
…11000111000100110100
31211001120020111221100200
413131322323013010310
531401424314032202
61031424413040500
752034445064056
oct7357273070464
91731506457320
10513163424052
111886a4413854
1283555486130
133951133b8a6
141aba156d8d6
15d5365b6e1c
hex777aec7134

513163424052 has 36 divisors (see below), whose sum is σ = 1297583310660. Its totient is φ = 170999062272.

The previous prime is 513163424023. The next prime is 513163424069. The reversal of 513163424052 is 250424361315.

513163424052 is a `hidden beast` number, since 5 + 13 + 1 + 634 + 2 + 4 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 264734946576 + 248428477476 = 514524^2 + 498426^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 513163423998 and 513163424016.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2196103 + ... + 2418510.

Almost surely, 2513163424052 is an apocalyptic number.

It is an amenable number.

513163424052 is an abundant number, since it is smaller than the sum of its proper divisors (784419886608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513163424052 is a wasteful number, since it uses less digits than its factorization.

513163424052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617712 (or 4617707 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 513163424052 its reverse (250424361315), we get a palindrome (763587785367).

The spelling of 513163424052 in words is "five hundred thirteen billion, one hundred sixty-three million, four hundred twenty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3089 6178 9267 12356 18534 27801 37068 55602 111204 4614613 9229226 13843839 18458452 27687678 41531517 55375356 83063034 166126068 14254539557 28509079114 42763618671 57018158228 85527237342 128290856013 171054474684 256581712026 513163424052