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6659400660 = 22351110199901
BaseRepresentation
bin1100011001110111…
…00110001111010100
3122012002211121022220
412030323212033110
5102114301310120
63020450022340
7324011654163
oct61473461724
918162747286
106659400660
112908070310
12135a2779b0
13821891883
144726193da
1528e98ab40
hex18cee63d4

6659400660 has 96 divisors (see below), whose sum is σ = 20543048064. Its totient is φ = 1598400000.

The previous prime is 6659400653. The next prime is 6659400661. The reversal of 6659400660 is 660049566.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6659400661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16710 + ... + 116610.

It is an arithmetic number, because the mean of its divisors is an integer number (213990084).

Almost surely, 26659400660 is an apocalyptic number.

6659400660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6659400660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10271524032).

6659400660 is an abundant number, since it is smaller than the sum of its proper divisors (13883647404).

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

6659400660 is a wasteful number, since it uses less digits than its factorization.

6659400660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100025 (or 100023 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 6659400660 is about 81605.1509403665. The cubic root of 6659400660 is about 1881.3880517963.

The spelling of 6659400660 in words is "six billion, six hundred fifty-nine million, four hundred thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 99901 199802 299703 399604 499505 599406 999010 1098911 1198812 1498515 1998020 2197822 2997030 3296733 4395644 5494555 5994060 6593466 10090001 10989110 13186932 16483665 20180002 21978220 30270003 32967330 40360004 50450005 60540006 65934660 100900010 110990011 121080012 151350015 201800020 221980022 302700030 332970033 443960044 554950055 605400060 665940066 1109900110 1331880132 1664850165 2219800220 3329700330 6659400660