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6688633336660 = 22511221140932027
BaseRepresentation
bin110000101010101000110…
…0111010011001101010100
3212200102112100122121212001
41201111101213103031110
51334041310113233120
622120414333205044
71260144366203422
oct141252147231524
925612470577761
106688633336660
1121496a7167700
12900375930784
13396973933732
14191a3565a112
15b8ec01c4e0a
hex615519d3354

6688633336660 has 144 divisors (see below), whose sum is σ = 15550718823360. Its totient is φ = 2414709158400.

The previous prime is 6688633336601. The next prime is 6688633336729. The reversal of 6688633336660 is 666333368866.

It is a super-3 number, since 3×66886333366603 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6688633336592 and 6688633336601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208827567 + ... + 208859593.

It is an arithmetic number, because the mean of its divisors is an integer number (107991102940).

Almost surely, 26688633336660 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 6688633336660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7775359411680).

6688633336660 is an abundant number, since it is smaller than the sum of its proper divisors (8862085486700).

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

6688633336660 is a wasteful number, since it uses less digits than its factorization.

6688633336660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32678 (or 32665 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 64.

The spelling of 6688633336660 in words is "six trillion, six hundred eighty-eight billion, six hundred thirty-three million, three hundred thirty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 211 220 242 409 422 484 605 818 844 1055 1210 1636 2045 2110 2321 2420 4090 4220 4499 4642 8180 8998 9284 11605 17996 22495 23210 25531 32027 44990 46420 49489 51062 64054 86299 89980 98978 102124 127655 128108 160135 172598 197956 247445 255310 320270 345196 352297 431495 494890 510620 640540 704594 862990 949289 989780 1409188 1725980 1761485 1898578 3522970 3797156 3875267 4746445 6757697 7045940 7750534 9492890 10442179 13099043 13515394 15501068 18985780 19376335 20884358 26198086 27030788 33788485 38752670 41768716 52210895 52396172 65495215 67576970 74334667 77505340 104421790 130990430 135153940 144089473 148669334 208843580 261980860 288178946 297338668 371673335 576357892 720447365 743346670 817681337 1440894730 1486693340 1584984203 1635362674 2763898073 2881789460 3169968406 3270725348 4088406685 5527796146 6339936812 7924921015 8176813370 11055592292 13819490365 15849842030 16353626740 27638980730 30402878803 31699684060 55277961460 60805757606 121611515212 152014394015 304028788030 334431666833 608057576060 668863333666 1337726667332 1672158334165 3344316668330 6688633336660