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3068541504 = 2632722329163
BaseRepresentation
bin1011011011100110…
…0011101001000000
321220212000001121100
42312321203221000
522241021312004
61224253254400
7136020113100
oct26671435100
97825001540
103068541504
111335125716
12717794400
1339b962242
14211769200
1512e5d2739
hexb6e63a40

3068541504 has 504 divisors, whose sum is σ = 11112154560. Its totient is φ = 804722688.

The previous prime is 3068541503. The next prime is 3068541521. The reversal of 3068541504 is 4051458603.

It is a happy number.

3068541504 is a `hidden beast` number, since 3 + 0 + 68 + 541 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3068541503) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18825327 + ... + 18825489.

Almost surely, 23068541504 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 3068541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556077280).

3068541504 is an abundant number, since it is smaller than the sum of its proper divisors (8043613056).

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

3068541504 is a wasteful number, since it uses less digits than its factorization.

3068541504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3068541504 is about 55394.4176248835. The cubic root of 3068541504 is about 1453.1507395288.

The spelling of 3068541504 in words is "three billion, sixty-eight million, five hundred forty-one thousand, five hundred four".