Search a number
-
+
1089713664000 = 21232531318191
BaseRepresentation
bin11111101101101111111…
…11101111000000000000
310212011202000111202110100
433312313333233000000
5120323213144222000
62152335121402400
7141505056212523
oct17666777570000
93764660452410
101089713664000
11390165a55565
1215723aa99400
137b9b4995520
143aa572cabba
151d52c8d2a00
hexfdb7fef000

1089713664000 has 624 divisors, whose sum is σ = 4230710999424. Its totient is φ = 268222464000.

The previous prime is 1089713663993. The next prime is 1089713664023. The reversal of 1089713664000 is 4663179801.

It is a happy number.

1089713664000 is a `hidden beast` number, since 108 + 9 + 7 + 136 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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 47 ways as a sum of consecutive naturals, for example, 59894905 + ... + 59913095.

It is an arithmetic number, because the mean of its divisors is an integer number (6779985576).

Almost surely, 21089713664000 is an apocalyptic number.

1089713664000 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 1089713664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115355499712).

1089713664000 is an abundant number, since it is smaller than the sum of its proper divisors (3140997335424).

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

1089713664000 is a wasteful number, since it uses less digits than its factorization.

1089713664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18249 (or 18214 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1089713664000 in words is "one trillion, eighty-nine billion, seven hundred thirteen million, six hundred sixty-four thousand".