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3045321086976 = 211337173114929
BaseRepresentation
bin101100010100001011010…
…010000001100000000000
3101210010111122220001001000
4230110023102001200000
5344343304144240401
610251000131412000
7433005616066020
oct54241322014000
911703448801030
103045321086976
11a745713a9163
12412253a54000
13191232112c2c
14a7574067a80
1554338459186
hex2c50b481800

3045321086976 has 768 divisors, whose sum is σ = 11269020672000. Its totient is φ = 792440340480.

The previous prime is 3045321086963. The next prime is 3045321086999. The reversal of 3045321086976 is 6796801235403.

3045321086976 is a `hidden beast` number, since 3 + 0 + 4 + 532 + 10 + 8 + 6 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 203979480 + ... + 203994408.

It is an arithmetic number, because the mean of its divisors is an integer number (14673204000).

It is a 1-persistent number, because it is pandigital, but 2⋅3045321086976 = 6090642173952 is not.

Almost surely, 23045321086976 is an apocalyptic number.

3045321086976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3045321086976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634510336000).

3045321086976 is an abundant number, since it is smaller than the sum of its proper divisors (8223699585024).

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

3045321086976 is a wasteful number, since it uses less digits than its factorization.

3045321086976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15015 (or 14989 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3045321086976 in words is "three trillion, forty-five billion, three hundred twenty-one million, eighty-six thousand, nine hundred seventy-six".