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667041228680 = 23553478965701
BaseRepresentation
bin10011011010011101100…
…00010110011110001000
32100202202020202100010212
421231032300112132020
541412100023304210
61230233504300252
766122621615141
oct11551660263610
92322666670125
10667041228680
11237988424a12
12a933a911688
134ab950c74a8
14243dbd46ac8
1512540830805
hex9b4ec16788

667041228680 has 64 divisors (see below), whose sum is σ = 1529503138800. Its totient is φ = 261723571200.

The previous prime is 667041228641. The next prime is 667041228697. The reversal of 667041228680 is 86822140766.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 383406163204 + 283635065476 = 619198^2 + 532574^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10119830 + ... + 10185530.

Almost surely, 2667041228680 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 667041228680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764751569400).

667041228680 is an abundant number, since it is smaller than the sum of its proper divisors (862461910120).

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

667041228680 is a wasteful number, since it uses less digits than its factorization.

667041228680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70554 (or 70550 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 667041228680 in words is "six hundred sixty-seven billion, forty-one million, two hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 4789 9578 19156 23945 38312 47890 65701 95780 131402 191560 253817 262804 328505 507634 525608 657010 1015268 1269085 1314020 2030536 2538170 2628040 3482153 5076340 6964306 10152680 13928612 17410765 27857224 34821530 69643060 139286120 314642089 629284178 1258568356 1573210445 2517136712 3146420890 6292841780 12585683560 16676030717 33352061434 66704122868 83380153585 133408245736 166760307170 333520614340 667041228680