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10728530338500 = 223353131979139293
BaseRepresentation
bin1001110000011110111000…
…1111010110001011000100
31101222122012201121000101000
42130013232033112023010
52401234012231313000
634452341354333300
72155052661140262
oct234075617261304
941878181530330
1010728530338500
113466a42758267
12125331712a230
135ca90835b360
142913995d5432
15139118abe000
hex9c1ee3d62c4

10728530338500 has 1536 divisors, whose sum is σ = 40272261120000. Its totient is φ = 2444065228800.

The previous prime is 10728530338489. The next prime is 10728530338501. The reversal of 10728530338500 is 583303582701.

10728530338500 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 8 + 530 + 33 + 85 + 0 + 0 = 666.

10728530338500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107285303385002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10728530338501) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 36616144354 + ... + 36616144646.

It is an arithmetic number, because the mean of its divisors is an integer number (26218920000).

Almost surely, 210728530338500 is an apocalyptic number.

10728530338500 is a gapful number since it is divisible by the number (10) 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 10728530338500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20136130560000).

10728530338500 is an abundant number, since it is smaller than the sum of its proper divisors (29543730781500).

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

10728530338500 is a wasteful number, since it uses less digits than its factorization.

10728530338500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10728530338500 in words is "ten trillion, seven hundred twenty-eight billion, five hundred thirty million, three hundred thirty-eight thousand, five hundred".