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665421696 = 2733316211
BaseRepresentation
bin100111101010011…
…000011110000000
31201101002220222000
4213222120132000
52330321443241
6150010144000
722326663642
oct4752303600
91641086860
10665421696
11311682195
12166a22000
13a7b23564
1464536892
153d641eb6
hex27a98780

665421696 has 128 divisors (see below), whose sum is σ = 2027596800. Its totient is φ = 214617600.

The previous prime is 665421683. The next prime is 665421709. The reversal of 665421696 is 696124566.

665421696 is a `hidden beast` number, since 6 + 6 + 542 + 16 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (665421683) and next prime (665421709).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104031 + ... + 110241.

It is an arithmetic number, because the mean of its divisors is an integer number (15840600).

Almost surely, 2665421696 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 665421696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013798400).

665421696 is an abundant number, since it is smaller than the sum of its proper divisors (1362175104).

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

665421696 is a wasteful number, since it uses less digits than its factorization.

665421696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265 (or 6247 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 665421696 is about 25795.7689553927. The cubic root of 665421696 is about 873.0363348560.

The spelling of 665421696 in words is "six hundred sixty-five million, four hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1488 1674 1728 1984 2232 2976 3348 3456 3968 4464 5952 6211 6696 8928 11904 12422 13392 17856 18633 24844 26784 35712 37266 49688 53568 55899 74532 99376 107136 111798 149064 167697 192541 198752 223596 298128 335394 385082 397504 447192 577623 596256 670788 770164 795008 894384 1155246 1192512 1341576 1540328 1732869 1788768 2310492 2385024 2683152 3080656 3465738 3577536 4620984 5198607 5366304 6161312 6931476 7155072 9241968 10397214 10732608 12322624 13862952 18483936 20794428 21465216 24645248 27725904 36967872 41588856 55451808 73935744 83177712 110903616 166355424 221807232 332710848 665421696