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1152202044006 = 2331321732692713
BaseRepresentation
bin10000110001000100100…
…101111111001001100110
311002011000221102100212000
4100301010211333021212
5122334202210402011
62241151520310130
7146146432531446
oct20610445771146
94064027370760
101152202044006
1140471201a322
1216737a172346
1384862b13b00
143daa4448126
151ee88818356
hex10c4497f266

1152202044006 has 192 divisors, whose sum is σ = 2799981691200. Its totient is φ = 351034684416.

The previous prime is 1152202043999. The next prime is 1152202044031. The reversal of 1152202044006 is 6004402022511.

1152202044006 is a `hidden beast` number, since 1 + 1 + 52 + 2 + 0 + 204 + 400 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 424695306 + ... + 424698018.

It is an arithmetic number, because the mean of its divisors is an integer number (14583237975).

Almost surely, 21152202044006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152202044006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399990845600).

1152202044006 is an abundant number, since it is smaller than the sum of its proper divisors (1647779647194).

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

1152202044006 is a wasteful number, since it uses less digits than its factorization.

1152202044006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1152202044006 its reverse (6004402022511), we get a palindrome (7156604066517).

The spelling of 1152202044006 in words is "one trillion, one hundred fifty-two billion, two hundred two million, forty-four thousand, six".