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7668857655 = 385317541
BaseRepresentation
bin1110010010001100…
…10111101100110111
3201210110022100000000
413021012113230313
5111201211421110
63304550122343
7361020133404
oct71106275467
921713270000
107668857655
113285963298
1215a03503b3
13952a603c4
1452a7092ab
152ed3d91c0
hex1c9197b37

7668857655 has 72 divisors (see below), whose sum is σ = 14250397824. Its totient is φ = 3957595200.

The previous prime is 7668857629. The next prime is 7668857663. The reversal of 7668857655 is 5567588667.

It is a happy number.

7668857655 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 8 + 576 + 55 = 666.

It is not a de Polignac number, because 7668857655 - 221 = 7666760503 is a prime.

It is a super-2 number, since 2×76688576552 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7668857592 and 7668857601.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1013185 + ... + 1020725.

It is an arithmetic number, because the mean of its divisors is an integer number (197922192).

Almost surely, 27668857655 is an apocalyptic number.

7668857655 is a deficient number, since it is larger than the sum of its proper divisors (6581540169).

7668857655 is an frugal number, since it uses more digits than its factorization.

7668857655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7580 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The square root of 7668857655 is about 87572.0141083897. The cubic root of 7668857655 is about 1972.0150523197.

The spelling of 7668857655 in words is "seven billion, six hundred sixty-eight million, eight hundred fifty-seven thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 155 243 279 405 465 729 837 1215 1395 2187 2511 3645 4185 6561 7533 7541 10935 12555 22599 22623 32805 37665 37705 67797 67869 112995 113115 203391 203607 233771 338985 339345 610821 701313 1016955 1018035 1168855 1832463 2103939 3054105 3506565 5497389 6311817 9162315 10519695 16492167 18935451 27486945 31559085 49476501 56806353 82460835 94677255 170419059 247382505 284031765 511257177 852095295 1533771531 2556285885 7668857655