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3005004005332 = 227223487988219
BaseRepresentation
bin101011101110101000001…
…100100011111111010100
3101122021102220012002021221
4223232220030203333110
5343213222011132312
610220251344420124
7430050541412650
oct53565014437724
911567386162257
103005004005332
11a59462469a7a
12406481917644
1318a4a84618c4
14a562b71ba60
1553278bdc207
hex2bba8323fd4

3005004005332 has 48 divisors (see below), whose sum is σ = 6049361059840. Its totient is φ = 1279449797472.

The previous prime is 3005004005309. The next prime is 3005004005369. The reversal of 3005004005332 is 2335004005003.

It is a happy number.

It is a super-2 number, since 2×30050040053322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3005004005297 and 3005004005306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2546719 + ... + 3534937.

Almost surely, 23005004005332 is an apocalyptic number.

It is an amenable number.

3005004005332 is an abundant number, since it is smaller than the sum of its proper divisors (3044357054508).

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

3005004005332 is a wasteful number, since it uses less digits than its factorization.

3005004005332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988940 (or 988938 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The spelling of 3005004005332 in words is "three trillion, five billion, four million, five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 223 446 487 892 974 1561 1948 3122 3409 6244 6818 13636 108601 217202 434404 760207 988219 1520414 1976438 3040828 3952876 6917533 13835066 27670132 220372837 440745674 481262653 881491348 962525306 1542609859 1925050612 3085219718 3368838571 6170439436 6737677142 13475354284 107321571619 214643143238 429286286476 751251001333 1502502002666 3005004005332