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660220001408 = 2711265292
BaseRepresentation
bin10011001101110000010…
…11011011110010000000
32100010010212102002102202
421212320023123302000
541304112310021113
61223144553532332
765461603263152
oct11467013336200
92303125362382
10660220001408
11234aa7a84a00
12a7b564140a8
134a348b55936
1423d52044ad2
1512291a7b258
hex99b82dbc80

660220001408 has 72 divisors (see below), whose sum is σ = 1445944692465. Its totient is φ = 300054036480.

The previous prime is 660220001387. The next prime is 660220001453. The reversal of 660220001408 is 804100022066.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 515765276224 + 144454725184 = 718168^2 + 380072^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=574552.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101117888 + ... + 101124416.

Almost surely, 2660220001408 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 660220001408

660220001408 is an abundant number, since it is smaller than the sum of its proper divisors (785724691057).

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

660220001408 is an frugal number, since it uses more digits than its factorization.

660220001408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13094 (or 6542 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 660220001408 in words is "six hundred sixty billion, two hundred twenty million, one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 6529 7744 13058 15488 26116 52232 71819 104464 143638 208928 287276 417856 574552 790009 835712 1149104 1580018 2298208 3160036 4596416 6320072 9192832 12640144 25280288 42627841 50560576 85255682 101121152 170511364 341022728 468906251 682045456 937812502 1364090912 1875625004 2728181824 3751250008 5157968761 5456363648 7502500016 10315937522 15005000032 20631875044 30010000064 41263750088 60020000128 82527500176 165055000352 330110000704 660220001408