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66214611684 = 223213232992
BaseRepresentation
bin111101101010101100…
…101100101011100100
320022220121110210022100
4331222230230223210
52041101420033214
650230224532100
74532600625054
oct755254545344
9208817423270
1066214611684
1126099470881
12109bb181030
136323127c00
1432c1da9564
151ac812e309
hexf6ab2cae4

66214611684 has 81 divisors (see below), whose sum is σ = 181296231753. Its totient is φ = 20367550944.

The previous prime is 66214611677. The next prime is 66214611691. The reversal of 66214611684 is 48611641266.

The square root of 66214611684 is 257322.

It is a perfect power (a square), and thus also a powerful number.

66214611684 is a `hidden beast` number, since 6 + 6 + 21 + 4 + 611 + 6 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (66214611677) and next prime (66214611691).

It can be written as a sum of positive squares in only one way, i.e., 9795060900 + 56419550784 = 98970^2 + 237528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20069467 + ... + 20072765.

Almost surely, 266214611684 is an apocalyptic number.

66214611684 is the 257322-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66214611684

66214611684 is an abundant number, since it is smaller than the sum of its proper divisors (115081620069).

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

66214611684 is a wasteful number, since it uses less digits than its factorization.

66214611684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6634 (or 3317 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 66214611684 in words is "sixty-six billion, two hundred fourteen million, six hundred eleven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 3299 6084 6598 9897 13196 19794 29691 39588 42887 59382 85774 118764 128661 171548 257322 385983 514644 557531 771966 1115062 1543932 1672593 2230124 3345186 5017779 6690372 10035558 10883401 20071116 21766802 32650203 43533604 65300406 97950609 130600812 141484213 195901218 282968426 391802436 424452639 565936852 848905278 1273357917 1697810556 1839294769 2546715834 3678589538 5093431668 5517884307 7357179076 11035768614 16553652921 22071537228 33107305842 66214611684