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666441515664 = 2432113193212209
BaseRepresentation
bin10011011001010110000…
…00101000001010010000
32100201012110021202112200
421230223000220022100
541404333012000124
61230054202323200
766102020262531
oct11545300501220
92321173252480
10666441515664
112376aa952721
12a91b1ab9500
134aacaa9c412
1424382436688
1512507d6cbc9
hex9b2b028290

666441515664 has 120 divisors (see below), whose sum is σ = 1891374253080. Its totient is φ = 219039399936.

The previous prime is 666441515653. The next prime is 666441515669. The reversal of 666441515664 is 466515144666.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18403635600 + 648037880064 = 135660^2 + 805008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 666441515664.

It is not an unprimeable number, because it can be changed into a prime (666441515669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3034392 + ... + 3246600.

It is an arithmetic number, because the mean of its divisors is an integer number (15761452109).

Almost surely, 2666441515664 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 666441515664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945687126540).

666441515664 is an abundant number, since it is smaller than the sum of its proper divisors (1224932737416).

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

666441515664 is a wasteful number, since it uses less digits than its factorization.

666441515664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212529 (or 212520 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 666441515664 in words is "six hundred sixty-six billion, four hundred forty-one million, five hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 193 226 339 386 452 579 678 772 904 1017 1158 1356 1544 1737 1808 2034 2316 2712 3088 3474 4068 4632 5424 6948 8136 9264 13896 16272 21809 27792 43618 65427 87236 130854 174472 196281 212209 261708 348944 392562 424418 523416 636627 785124 848836 1046832 1273254 1570248 1697672 1909881 2546508 3140496 3395344 3819762 5093016 7639524 10186032 15279048 23979617 30558096 40956337 47959234 71938851 81912674 95918468 122869011 143877702 163825348 191836936 215816553 245738022 287755404 327650696 368607033 383673872 431633106 491476044 575510808 655301392 737214066 863266212 982952088 1151021616 1474428132 1726532424 1965904176 2948856264 3453064848 4628066081 5897712528 9256132162 13884198243 18512264324 27768396486 37024528648 41652594729 55536792972 74049057296 83305189458 111073585944 166610378916 222147171888 333220757832 666441515664