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3668496468 = 22371331310733
BaseRepresentation
bin1101101010101000…
…1101000001010100
3100110122220221002120
43122222031001110
530003113341333
61404004335540
7156623463660
oct33252150124
910418827076
103668496468
11161285276a
128646a45b0
13466043490
1426b2dd8a0
151670e1db3
hexdaa8d054

3668496468 has 96 divisors (see below), whose sum is σ = 10569812736. Its totient is φ = 964334592.

The previous prime is 3668496463. The next prime is 3668496547. The reversal of 3668496468 is 8646948663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3668496463) 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, 336430 + ... + 347162.

It is an arithmetic number, because the mean of its divisors is an integer number (110102216).

Almost surely, 23668496468 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 3668496468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284906368).

3668496468 is an abundant number, since it is smaller than the sum of its proper divisors (6901316268).

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

3668496468 is a wasteful number, since it uses less digits than its factorization.

3668496468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11073 (or 11071 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 60.

The square root of 3668496468 is about 60568.1142846630. The cubic root of 3668496468 is about 1542.2781355528.

The spelling of 3668496468 in words is "three billion, six hundred sixty-eight million, four hundred ninety-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 313 364 546 626 939 1092 1252 1878 2191 3756 4069 4382 6573 8138 8764 10733 12207 13146 16276 21466 24414 26292 28483 32199 42932 48828 56966 64398 75131 85449 113932 128796 139529 150262 170898 225393 279058 300524 341796 418587 450786 558116 837174 901572 976703 1674348 1953406 2930109 3359429 3906812 5860218 6718858 10078287 11720436 13437716 20156574 23516003 40313148 43672577 47032006 70548009 87345154 94064012 131017731 141096018 174690308 262035462 282192036 305708039 524070924 611416078 917124117 1222832156 1834248234 3668496468