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1668786948 = 223519109829
BaseRepresentation
bin110001101110111…
…1010101100000100
311022022010011100000
41203131322230010
511404202140243
6433331521300
756232312033
oct14335725404
94268104300
101668786948
11786a94374
123a6a59230
1320796b3ca
1411b8bc71a
159b78a5d3
hex6377ab04

1668786948 has 144 divisors (see below), whose sum is σ = 4652648000. Its totient is φ = 521520768.

The previous prime is 1668786937. The next prime is 1668786949. The reversal of 1668786948 is 8496878661.

1668786948 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1668786949) 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, 2012598 + ... + 2013426.

Almost surely, 21668786948 is an apocalyptic number.

1668786948 is a gapful number since it is divisible by the number (18) 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 1668786948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326324000).

1668786948 is an abundant number, since it is smaller than the sum of its proper divisors (2983861052).

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

1668786948 is a wasteful number, since it uses less digits than its factorization.

1668786948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 962 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 1668786948 is about 40850.7888295930. The cubic root of 1668786948 is about 1186.1336627412.

The spelling of 1668786948 in words is "one billion, six hundred sixty-eight million, seven hundred eighty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 109 114 162 171 218 228 243 324 327 342 436 486 513 654 684 829 972 981 1026 1308 1539 1658 1962 2052 2071 2487 2943 3078 3316 3924 4142 4617 4974 5886 6156 6213 7461 8284 8829 9234 9948 11772 12426 14922 15751 17658 18468 18639 22383 24852 26487 29844 31502 35316 37278 44766 47253 52974 55917 63004 67149 74556 89532 90361 94506 105948 111834 134298 141759 167751 180722 189012 201447 223668 268596 271083 283518 335502 361444 402894 425277 503253 542166 567036 671004 805788 813249 850554 1006506 1084332 1275831 1626498 1701108 1716859 2013012 2439747 2551662 3252996 3433718 3827493 4879494 5103324 5150577 6867436 7319241 7654986 9758988 10301154 14638482 15309972 15451731 20602308 21957723 29276964 30903462 43915446 46355193 61806924 87830892 92710386 139065579 185420772 278131158 417196737 556262316 834393474 1668786948