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57666666675 = 3528931727253
BaseRepresentation
bin110101101101001100…
…111000000010110011
312111211220000012011110
4311231030320002303
51421100131313200
642254112444403
74111014402432
oct655514700263
9174756005143
1057666666675
112250236a212
12b214549703
135590213a97
142b10a29119
151777999b50
hexd6d3380b3

57666666675 has 48 divisors (see below), whose sum is σ = 96721175520. Its totient is φ = 30312944640.

The previous prime is 57666666647. The next prime is 57666666677.

57666666675 is nontrivially palindromic in base 10.

57666666675 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 57666666675 - 212 = 57666662579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57666666677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2102349 + ... + 2129601.

It is an arithmetic number, because the mean of its divisors is an integer number (2015024490).

Almost surely, 257666666675 is an apocalyptic number.

57666666675 is a deficient number, since it is larger than the sum of its proper divisors (39054508845).

57666666675 is a wasteful number, since it uses less digits than its factorization.

57666666675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27672 (or 27667 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 66.

The spelling of 57666666675 in words is "fifty-seven billion, six hundred sixty-six million, six hundred sixty-six thousand, six hundred seventy-five".

Divisors: 1 3 5 15 25 75 89 267 317 445 951 1335 1585 2225 4755 6675 7925 23775 27253 28213 81759 84639 136265 141065 408795 423195 681325 705325 2043975 2115975 2425517 7276551 8639201 12127585 25917603 36382755 43196005 60637925 129588015 181913775 215980025 647940075 768888889 2306666667 3844444445 11533333335 19222222225 57666666675