Search a number
-
+
989621920560 = 2435713192314049
BaseRepresentation
bin11100110011010100001…
…00000010001100110000
310111121101110020100212110
432121222010002030300
5112203221202424220
62034343120125320
7131332516350450
oct16315204021460
93447343210773
10989621920560
11351772858239
1213b966466840
1372423173430
1435c7ddc7d60
151ab205c4be0
hexe66a102330

989621920560 has 960 divisors, whose sum is σ = 4114536652800. Its totient is φ = 191381667840.

The previous prime is 989621920531. The next prime is 989621920583. The reversal of 989621920560 is 65029126989.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 989621920560.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 244409416 + ... + 244413464.

It is an arithmetic number, because the mean of its divisors is an integer number (4285975680).

Almost surely, 2989621920560 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 989621920560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057268326400).

989621920560 is an abundant number, since it is smaller than the sum of its proper divisors (3124914732240).

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

989621920560 is a wasteful number, since it uses less digits than its factorization.

989621920560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The spelling of 989621920560 in words is "nine hundred eighty-nine billion, six hundred twenty-one million, nine hundred twenty thousand, five hundred sixty".