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66679335216 = 24331359613299
BaseRepresentation
bin111110000110011001…
…011110100100110000
320101002222221012011000
4332012121132210300
52043024402211331
650344305322000
74550242666134
oct760631364460
9211088835130
1066679335216
112630782350a
1210b0a936300
1363984ab450
1433279bb3c4
151b03d2a0e6
hexf8665e930

66679335216 has 320 divisors, whose sum is σ = 213111360000. Its totient is φ = 19832325120.

The previous prime is 66679335193. The next prime is 66679335241. The reversal of 66679335216 is 61253397666.

66679335216 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 2×666793352162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20210335 + ... + 20213633.

It is an arithmetic number, because the mean of its divisors is an integer number (665973000).

Almost surely, 266679335216 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 66679335216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680000).

66679335216 is an abundant number, since it is smaller than the sum of its proper divisors (146432024784).

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

66679335216 is a wasteful number, since it uses less digits than its factorization.

66679335216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3437 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 66679335216 in words is "sixty-six billion, six hundred seventy-nine million, three hundred thirty-five thousand, two hundred sixteen".