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4077224676 = 22327149108587
BaseRepresentation
bin1111001100000101…
…1000001011100100
3101112011000110210100
43303001120023210
531322232142201
61512325024100
7203015560260
oct36301301344
911464013710
104077224676
11180253a278
12959555030
134cc91c7a5
142a96d70a0
1518ce2b886
hexf30582e4

4077224676 has 72 divisors (see below), whose sum is σ = 11857809600. Its totient is φ = 1157092416.

The previous prime is 4077224663. The next prime is 4077224707. The reversal of 4077224676 is 6764227704.

It is a super-3 number, since 3×40772246763 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16746 + ... + 91841.

It is an arithmetic number, because the mean of its divisors is an integer number (164691800).

Almost surely, 24077224676 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 4077224676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928904800).

4077224676 is an abundant number, since it is smaller than the sum of its proper divisors (7780584924).

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

4077224676 is a wasteful number, since it uses less digits than its factorization.

4077224676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108753 (or 108748 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 4077224676 is about 63853.1493036953. The cubic root of 4077224676 is about 1597.5515514527.

The spelling of 4077224676 in words is "four billion, seventy-seven million, two hundred twenty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 149 252 298 447 596 894 1043 1341 1788 2086 2682 3129 4172 5364 6258 9387 12516 18774 37548 108587 217174 325761 434348 651522 760109 977283 1303044 1520218 1954566 2280327 3040436 3909132 4560654 6840981 9121308 13681962 16179463 27363924 32358926 48538389 64717852 97076778 113256241 145615167 194153556 226512482 291230334 339768723 453024964 582460668 679537446 1019306169 1359074892 2038612338 4077224676