Search a number
-
+
10487783192320 = 285721131678861
BaseRepresentation
bin1001100010011110000010…
…0101110111011100000000
31101010121210122100211111101
42120213200211313130000
52333312434444123240
634150004315424144
72131501021150600
oct230474045673400
941117718324441
1010487783192320
113383931218045
121214729455054
135b0cbc2510c5
1428387ba18c00
15132c2827b39a
hex989e0977700

10487783192320 has 432 divisors, whose sum is σ = 29661484644288. Its totient is φ = 3542248980480.

The previous prime is 10487783192279. The next prime is 10487783192321. The reversal of 10487783192320 is 2329138778401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10487783192321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1183584690 + ... + 1183593550.

It is an arithmetic number, because the mean of its divisors is an integer number (68660844084).

Almost surely, 210487783192320 is an apocalyptic number.

10487783192320 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 10487783192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14830742322144).

10487783192320 is an abundant number, since it is smaller than the sum of its proper divisors (19173701451968).

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

10487783192320 is a wasteful number, since it uses less digits than its factorization.

10487783192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9176 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 10487783192320 in words is "ten trillion, four hundred eighty-seven billion, seven hundred eighty-three million, one hundred ninety-two thousand, three hundred twenty".