Search a number
-
+
6306630666 = 2378315111981
BaseRepresentation
bin1011101111110011…
…11000110000001010
3121021112001000212120
411313321320300022
5100403444140131
62521444552110
7312166322220
oct56771706012
917245030776
106306630666
112746a23a66
1212800b2636
1379677892b
1443b82ab10
1526da06496
hex177e78c0a

6306630666 has 64 divisors (see below), whose sum is σ = 14686672896. Its totient is φ = 1768248000.

The previous prime is 6306630637. The next prime is 6306630713. The reversal of 6306630666 is 6660366036.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520396 + ... + 532376.

It is an arithmetic number, because the mean of its divisors is an integer number (229479264).

Almost surely, 26306630666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6306630666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343336448).

6306630666 is an abundant number, since it is smaller than the sum of its proper divisors (8380042230).

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

6306630666 is a wasteful number, since it uses less digits than its factorization.

6306630666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12227.

The product of its (nonzero) digits is 419904, while the sum is 42.

The square root of 6306630666 is about 79414.2976169909. The cubic root of 6306630666 is about 1847.5624743105.

The spelling of 6306630666 in words is "six billion, three hundred six million, six hundred thirty thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 83 151 166 249 302 453 498 581 906 1057 1162 1743 2114 3171 3486 6342 11981 12533 23962 25066 35943 37599 71886 75198 83867 87731 167734 175462 251601 263193 503202 526386 994423 1809131 1988846 2983269 3618262 5427393 5966538 6960961 10854786 12663917 13921922 20882883 25327834 37991751 41765766 75983502 150157873 300315746 450473619 900947238 1051105111 2102210222 3153315333 6306630666