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4760606695768 = 23711233197131853
BaseRepresentation
bin100010101000110101001…
…0001010110000101011000
3121212002221212101020112221
41011101222101112011120
51110444210303231033
614042554215113424
71000641162151510
oct105215221260530
917762855336487
104760606695768
111575a64409890
1264a779672874
13286c005c4021
141265b3904840
1583c7aba712d
hex4546a456158

4760606695768 has 512 divisors, whose sum is σ = 12217478676480. Its totient is φ = 1684260864000.

The previous prime is 4760606695739. The next prime is 4760606695771. The reversal of 4760606695768 is 8675966060674.

It is a happy number.

It is a super-2 number, since 2×47606066957682 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4760606695697 and 4760606695706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5581015630 + ... + 5581016482.

It is an arithmetic number, because the mean of its divisors is an integer number (23862263040).

Almost surely, 24760606695768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4760606695768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108739338240).

4760606695768 is an abundant number, since it is smaller than the sum of its proper divisors (7456871980712).

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

4760606695768 is a wasteful number, since it uses less digits than its factorization.

4760606695768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 70.

The spelling of 4760606695768 in words is "four trillion, seven hundred sixty billion, six hundred six million, six hundred ninety-five thousand, seven hundred sixty-eight".