Search a number
-
+
6631441656 = 2337216993319
BaseRepresentation
bin1100010110100001…
…11100010011111000
3122010011020010210020
412023100330103320
5102040122113111
63014010450440
7323222216100
oct61320742370
918104203706
106631441656
1128a33042a4
121350a33a20
13818b52898
1446ca1c200
1528c2b6906
hex18b43c4f8

6631441656 has 96 divisors (see below), whose sum is σ = 19302480000. Its totient is φ = 1893011904.

The previous prime is 6631441643. The next prime is 6631441657. The reversal of 6631441656 is 6561441366.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6631441657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996365 + ... + 1999683.

It is an arithmetic number, because the mean of its divisors is an integer number (201067500).

Almost surely, 26631441656 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 6631441656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651240000).

6631441656 is an abundant number, since it is smaller than the sum of its proper divisors (12671038344).

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

6631441656 is a wasteful number, since it uses less digits than its factorization.

6631441656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5030 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 6631441656 is about 81433.6641445048. The cubic root of 6631441656 is about 1878.7514019544.

The spelling of 6631441656 in words is "six billion, six hundred thirty-one million, four hundred forty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1699 3319 3398 5097 6638 6796 9957 10194 11893 13276 13592 19914 20388 23233 23786 26552 35679 39828 40776 46466 47572 69699 71358 79656 83251 92932 95144 139398 142716 162631 166502 185864 249753 278796 285432 325262 333004 487893 499506 557592 650524 666008 975786 999012 1301048 1951572 1998024 3903144 5638981 11277962 16916943 22555924 33833886 39472867 45111848 67667772 78945734 118418601 135335544 157891468 236837202 276310069 315782936 473674404 552620138 828930207 947348808 1105240276 1657860414 2210480552 3315720828 6631441656