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66679348632 = 23313673317557
BaseRepresentation
bin111110000110011001…
…100001110110011000
320101002222221212112220
4332012121201312120
52043024403124012
650344305504040
74550243053221
oct760631416630
9211088855486
1066679348632
11263078325a6
1210b0a942020
1363984b45a0
1433279c2248
151b03d2e08c
hexf86661d98

66679348632 has 64 divisors (see below), whose sum is σ = 179788637280. Its totient is φ = 20486172672.

The previous prime is 66679348597. The next prime is 66679348711. The reversal of 66679348632 is 23684397666.

It is a happy number.

66679348632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×666793486322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51198 + ... + 368754.

Almost surely, 266679348632 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 66679348632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89894318640).

66679348632 is an abundant number, since it is smaller than the sum of its proper divisors (113109288648).

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

66679348632 is a wasteful number, since it uses less digits than its factorization.

66679348632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318252 (or 318248 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 60.

The spelling of 66679348632 in words is "sixty-six billion, six hundred seventy-nine million, three hundred forty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 673 1346 2019 2692 4038 5384 8076 8749 16152 17498 26247 34996 52494 69992 104988 209976 317557 635114 952671 1270228 1905342 2540456 3810684 4128241 7621368 8256482 12384723 16512964 24769446 33025928 49538892 99077784 213715861 427431722 641147583 854863444 1282295166 1709726888 2564590332 2778306193 5129180664 5556612386 8334918579 11113224772 16669837158 22226449544 33339674316 66679348632