Search a number
-
+
10764245196000 = 253453316117569
BaseRepresentation
bin1001110010100011111100…
…0000101101110011100000
31102010001101202101202110000
42130220333000231303200
52402330133232233000
634521005335540000
72160456013335252
oct234507700556340
942101352352400
1010764245196000
1134800aa87631a
12125a223b2a600
136010aa6c3c2a
14292dc6a25cd2
1513a0092a9000
hex9ca3f02dce0

10764245196000 has 960 divisors, whose sum is σ = 41453761789440. Its totient is φ = 2732175360000.

The previous prime is 10764245195999. The next prime is 10764245196049. The reversal of 10764245196000 is 69154246701.

10764245196000 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 4 + 24 + 5 + 19 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 612675216 + ... + 612692784.

It is an arithmetic number, because the mean of its divisors is an integer number (43181001864).

Almost surely, 210764245196000 is an apocalyptic number.

10764245196000 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 10764245196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20726880894720).

10764245196000 is an abundant number, since it is smaller than the sum of its proper divisors (30689516593440).

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

10764245196000 is a wasteful number, since it uses less digits than its factorization.

10764245196000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17698 (or 17671 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10764245196000 in words is "ten trillion, seven hundred sixty-four billion, two hundred forty-five million, one hundred ninety-six thousand".