Search a number
-
+
6645227640 = 2335197401701
BaseRepresentation
bin1100011000001011…
…00010000001111000
3122011010011112121020
412030011202001320
5102102134241030
63015222142440
7323450334342
oct61405420170
918133145536
106645227640
11290006a977
121355581a20
1381b96b77c
144707aa292
1528d5db510
hex18c162078

6645227640 has 128 divisors (see below), whose sum is σ = 20115501120. Its totient is φ = 1756160000.

The previous prime is 6645227623. The next prime is 6645227647. The reversal of 6645227640 is 467225466.

It is a junction number, because it is equal to n+sod(n) for n = 6645227592 and 6645227601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6645227647) 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, 9479290 + ... + 9479990.

Almost surely, 26645227640 is an apocalyptic number.

6645227640 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 6645227640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10057750560).

6645227640 is an abundant number, since it is smaller than the sum of its proper divisors (13470273480).

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

6645227640 is a wasteful number, since it uses less digits than its factorization.

6645227640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 6645227640 is about 81518.2656832197. The cubic root of 6645227640 is about 1880.0524015875.

The spelling of 6645227640 in words is "six billion, six hundred forty-five million, two hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 401 591 701 788 802 985 1182 1203 1402 1576 1604 1970 2005 2103 2364 2406 2804 2955 3208 3505 3940 4010 4206 4728 4812 5608 5910 6015 7010 7880 8020 8412 9624 10515 11820 12030 14020 16040 16824 21030 23640 24060 28040 42060 48120 78997 84120 138097 157994 236991 276194 281101 315988 394985 414291 473982 552388 562202 631976 690485 789970 828582 843303 947964 1104776 1124404 1184955 1380970 1405505 1579940 1657164 1686606 1895928 2071455 2248808 2369910 2761940 2811010 3159880 3314328 3373212 4142910 4216515 4739820 5523880 5622020 6746424 8285820 8433030 9479640 11244040 16571640 16866060 33732120 55376897 110753794 166130691 221507588 276884485 332261382 443015176 553768970 664522764 830653455 1107537940 1329045528 1661306910 2215075880 3322613820 6645227640