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1671666672 = 243134756999
BaseRepresentation
bin110001110100011…
…1001101111110000
311022111112110120110
41203220321233300
511410421313142
6433513341320
756265634524
oct14350715760
94274473513
101671666672
11788680a05
123a7a07840
132084390a0
1411c02bd84
159bb5899c
hex63a39bf0

1671666672 has 80 divisors (see below), whose sum is σ = 4749696000. Its totient is φ = 503406336.

The previous prime is 1671666613. The next prime is 1671666677. The reversal of 1671666672 is 2766661761.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1671666677) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 829 + ... + 57827.

It is an arithmetic number, because the mean of its divisors is an integer number (59371200).

Almost surely, 21671666672 is an apocalyptic number.

1671666672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1671666672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374848000).

1671666672 is an abundant number, since it is smaller than the sum of its proper divisors (3078029328).

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

1671666672 is a wasteful number, since it uses less digits than its factorization.

1671666672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57070 (or 57064 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 1671666672 is about 40886.0204960082. The cubic root of 1671666672 is about 1186.8155502013.

The spelling of 1671666672 in words is "one billion, six hundred seventy-one million, six hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 564 611 624 752 1128 1222 1833 2256 2444 3666 4888 7332 9776 14664 29328 56999 113998 170997 227996 341994 455992 683988 740987 911984 1367976 1481974 2222961 2678953 2735952 2963948 4445922 5357906 5927896 8036859 8891844 10715812 11855792 16073718 17783688 21431624 32147436 34826389 35567376 42863248 64294872 69652778 104479167 128589744 139305556 208958334 278611112 417916668 557222224 835833336 1671666672