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664190748 = 22321317312693
BaseRepresentation
bin100111100101101…
…011111100011100
31201021210101102100
4213211223330130
52330013100443
6145523525100
722313346114
oct4745537434
91637711370
10664190748
11310a11381
12166529790
13a77b21a0
14642d6044
153d49c3d3
hex2796bf1c

664190748 has 144 divisors (see below), whose sum is σ = 1976921856. Its totient is φ = 186071040.

The previous prime is 664190743. The next prime is 664190749. The reversal of 664190748 is 847091466.

It is a super-2 number, since 2×6641907482 = 882298699457599008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664190743) 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, 245290 + ... + 247982.

It is an arithmetic number, because the mean of its divisors is an integer number (13728624).

Almost surely, 2664190748 is an apocalyptic number.

664190748 is a gapful number since it is divisible by the number (68) 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 664190748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988460928).

664190748 is an abundant number, since it is smaller than the sum of its proper divisors (1312731108).

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

664190748 is a wasteful number, since it uses less digits than its factorization.

664190748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 664190748 is about 25771.8984166863. The cubic root of 664190748 is about 872.4976660775.

The spelling of 664190748 in words is "six hundred sixty-four million, one hundred ninety thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 31 34 36 39 51 52 62 68 78 93 102 117 124 153 156 186 204 221 234 279 306 372 403 442 468 527 558 612 663 806 884 1054 1116 1209 1326 1581 1612 1989 2108 2418 2652 2693 3162 3627 3978 4743 4836 5386 6324 6851 7254 7956 8079 9486 10772 13702 14508 16158 18972 20553 24237 27404 32316 35009 41106 45781 48474 61659 70018 82212 83483 91562 96948 105027 123318 137343 140036 166966 183124 210054 246636 250449 274686 315081 333932 412029 420108 500898 549372 595153 630162 751347 824058 1001796 1085279 1190306 1260324 1419211 1502694 1648116 1785459 2170558 2380612 2838422 3005388 3255837 3570918 4257633 4341116 5356377 5676844 6511674 7141836 8515266 9767511 10712754 12772899 13023348 17030532 18449743 19535022 21425508 25545798 36899486 39070044 51091596 55349229 73798972 110698458 166047687 221396916 332095374 664190748