Search a number
-
+
11828612070 = 232511171971521
BaseRepresentation
bin10110000010000101…
…00100101111100110
31010112100121202022100
423001002210233212
5143211111041240
65233424112530
7566060354322
oct130102445746
933470552270
1011828612070
11501aa41360
122361465746
1311667b7852
14802d66982
154936b8e30
hex2c10a4be6

11828612070 has 384 divisors, whose sum is σ = 37992913920. Its totient is φ = 2515968000.

The previous prime is 11828612069. The next prime is 11828612077. The reversal of 11828612070 is 7021682811.

11828612070 is a `hidden beast` number, since 1 + 18 + 28 + 612 + 0 + 7 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11828612077) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22703410 + ... + 22703930.

It is an arithmetic number, because the mean of its divisors is an integer number (98939880).

Almost surely, 211828612070 is an apocalyptic number.

11828612070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11828612070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18996456960).

11828612070 is an abundant number, since it is smaller than the sum of its proper divisors (26164301850).

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

11828612070 is a wasteful number, since it uses less digits than its factorization.

11828612070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11828612070 in words is "eleven billion, eight hundred twenty-eight million, six hundred twelve thousand, seventy".