Search a number
-
+
89049034368 = 273373431747
BaseRepresentation
bin101001011101110111…
…1000110111010000000
322111211222110122112000
41102323233012322000
52424333023044433
6104524125504000
76301501206000
oct1227357067200
9274758418460
1089049034368
1134846949588
1215312412000
138521ac2b18
14444a8b6000
1524b2b34113
hex14bbbc6e80

89049034368 has 512 divisors, whose sum is σ = 313800960000. Its totient is φ = 24836668416.

The previous prime is 89049034357. The next prime is 89049034379. The reversal of 89049034368 is 86343094098.

It is a happy number.

89049034368 is a `hidden beast` number, since 8 + 90 + 490 + 3 + 4 + 3 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (89049034357) and next prime (89049034379).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 50971671 + ... + 50973417.

It is an arithmetic number, because the mean of its divisors is an integer number (612892500).

Almost surely, 289049034368 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 89049034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156900480000).

89049034368 is an abundant number, since it is smaller than the sum of its proper divisors (224751925632).

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

89049034368 is a wasteful number, since it uses less digits than its factorization.

89049034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 89049034368 in words is "eighty-nine billion, forty-nine million, thirty-four thousand, three hundred sixty-eight".