Search a number
-
+
6607971822606 = 2371123669192941
BaseRepresentation
bin110000000101000100111…
…0100000010110000001110
3212101201022220210011011120
41200022021310002300032
51331231111241310411
622015354345101410
71251260462511420
oct140121164026016
925351286704146
106607971822606
1121184749082a0
128a8804487866
1338c18a745bab
1418bb82ac4810
15b6d4dad7106
hex60289d02c0e

6607971822606 has 128 divisors (see below), whose sum is σ = 17196167503872. Its totient is φ = 1641469104000.

The previous prime is 6607971822593. The next prime is 6607971822619. The reversal of 6607971822606 is 6062281797066.

It is an interprime number because it is at equal distance from previous prime (6607971822593) and next prime (6607971822619).

It is a self number, because there is not a number n which added to its sum of digits gives 6607971822606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71052096 + ... + 71145036.

It is an arithmetic number, because the mean of its divisors is an integer number (134345058624).

Almost surely, 26607971822606 is an apocalyptic number.

6607971822606 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6607971822606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598083751936).

6607971822606 is an abundant number, since it is smaller than the sum of its proper divisors (10588195681266).

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

6607971822606 is a wasteful number, since it uses less digits than its factorization.

6607971822606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99678.

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 6607971822606 in words is "six trillion, six hundred seven billion, nine hundred seventy-one million, eight hundred twenty-two thousand, six hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 966 1518 1771 3542 5313 6691 10626 13382 20073 40146 46837 73601 92941 93674 140511 147202 153893 185882 220803 278823 281022 307786 441606 461679 515207 557646 650587 923358 1022351 1030414 1077251 1301174 1545621 1692823 1951761 2044702 2137643 2154502 3067053 3091242 3231753 3385646 3903522 4275286 5078469 6134106 6412929 6463506 7156457 10156938 11849761 12825858 14312914 14963501 21469371 23514073 23699522 29927002 35549283 42938742 44890503 47028146 70542219 71098566 89781006 141084438 164598511 329197022 493795533 621868231 987591066 1243736462 1865604693 3731209386 4353077617 6840550541 8706155234 13059232851 13681101082 14302969313 20521651623 26118465702 28605938626 41043303246 42908907939 47883853787 85817815878 95767707574 100120785191 143651561361 157332662443 200241570382 287303122722 300362355573 314665324886 471997987329 600724711146 943995974658 1101328637101 2202657274202 3303985911303 6607971822606