Search a number
-
+
89038994688 = 28357732801
BaseRepresentation
bin101001011101100100…
…0110011110100000000
322111211021120120200000
41102323020303310000
52424322440312223
6104523130400000
76301316652540
oct1227310636400
9274737516600
1089038994688
1134841211626
121530ab90000
13851c9b9197
144449421320
1524b1cee543
hex14bb233d00

89038994688 has 432 divisors, whose sum is σ = 308540459136. Its totient is φ = 25082265600.

The previous prime is 89038994687. The next prime is 89038994713. The reversal of 89038994688 is 88649983098.

89038994688 is a `hidden beast` number, since 89 + 0 + 3 + 89 + 9 + 468 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89038994687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31786888 + ... + 31789688.

Almost surely, 289038994688 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 89038994688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154270229568).

89038994688 is an abundant number, since it is smaller than the sum of its proper divisors (219501464448).

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

89038994688 is an equidigital number, since it uses as much as digits as its factorization.

89038994688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 89038994688 in words is "eighty-nine billion, thirty-eight million, nine hundred ninety-four thousand, six hundred eighty-eight".