Search a number
-
+
3377444325376 = 21111149922067
BaseRepresentation
bin110001001001011111010…
…111101000100000000000
3102221212202220100122200111
4301021133113220200000
5420314001221403001
611103324305201104
7466004135041552
oct61113727504000
912855686318614
103377444325376
1110924032a9970
124666a3330194
131b665116cbc4
14b967d5cd4d2
155ccc5d49851
hex3125f5e8800

3377444325376 has 48 divisors (see below), whose sum is σ = 7367170421520. Its totient is φ = 1535201955840.

The previous prime is 3377444325371. The next prime is 3377444325389. The reversal of 3377444325376 is 6735234447733.

It is a super-2 number, since 2×33774443253762 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3377444325376.

It is not an unprimeable number, because it can be changed into a prime (3377444325371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74938506 + ... + 74983561.

It is an arithmetic number, because the mean of its divisors is an integer number (153482717115).

Almost surely, 23377444325376 is an apocalyptic number.

It is an amenable number.

3377444325376 is an abundant number, since it is smaller than the sum of its proper divisors (3989726096144).

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

3377444325376 is a wasteful number, since it uses less digits than its factorization.

3377444325376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149922100 (or 149922080 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 58.

The spelling of 3377444325376 in words is "three trillion, three hundred seventy-seven billion, four hundred forty-four million, three hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 5632 11264 22528 149922067 299844134 599688268 1199376536 1649142737 2398753072 3298285474 4797506144 6596570948 9595012288 13193141896 19190024576 26386283792 38380049152 52772567584 76760098304 105545135168 153520196608 211090270336 307040393216 422180540672 844361081344 1688722162688 3377444325376