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11384992432 = 2411199735099
BaseRepresentation
bin10101001101001100…
…10011001010110000
31002101102212112120101
422212212103022300
5141304024224212
65121415522144
7552062560522
oct124646231260
932342775511
1011384992432
114912593360
122258989354
1310c5913018
147a0089a12
1546978b157
hex2a69932b0

11384992432 has 80 divisors (see below), whose sum is σ = 25592112000. Its totient is φ = 4851947520.

The previous prime is 11384992417. The next prime is 11384992439. The reversal of 11384992432 is 23429948311.

It is not an unprimeable number, because it can be changed into a prime (11384992439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306819 + ... + 341917.

It is an arithmetic number, because the mean of its divisors is an integer number (319901400).

Almost surely, 211384992432 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 11384992432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796056000).

11384992432 is an abundant number, since it is smaller than the sum of its proper divisors (14207119568).

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

11384992432 is a wasteful number, since it uses less digits than its factorization.

11384992432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35234 (or 35228 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The spelling of 11384992432 in words is "eleven billion, three hundred eighty-four million, nine hundred ninety-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 97 152 176 194 209 304 388 418 776 836 1067 1552 1672 1843 2134 3344 3686 4268 7372 8536 14744 17072 20273 29488 35099 40546 70198 81092 140396 162184 280792 324368 386089 561584 666881 772178 1333762 1544356 2667524 3088712 3404603 5335048 6177424 6809206 7335691 10670096 13618412 14671382 27236824 29342764 37450633 54473648 58685528 64687457 74901266 117371056 129374914 149802532 258749828 299605064 517499656 599210128 711562027 1034999312 1423124054 2846248108 5692496216 11384992432