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89014616064 = 214331121663
BaseRepresentation
bin101001011100110101…
…1110100000000000000
322111202120201000111000
41102321223310000000
52424300220203224
6104520500052000
76300602516043
oct1227153640000
9274676630430
1089014616064
1134829480600
1215302994000
138517931a6a
1444460b6c5a
1524aead60c9
hex14b9af4000

89014616064 has 360 divisors, whose sum is σ = 290069212160. Its totient is φ = 26957905920.

The previous prime is 89014616059. The next prime is 89014616081. The reversal of 89014616064 is 46061641098.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53525697 + ... + 53527359.

Almost surely, 289014616064 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 89014616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145034606080).

89014616064 is an abundant number, since it is smaller than the sum of its proper divisors (201054596096).

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

89014616064 is a wasteful number, since it uses less digits than its factorization.

89014616064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

It can be divided in two parts, 89014 and 616064, that added together give a triangular number (705078 = T1187).

The spelling of 89014616064 in words is "eighty-nine billion, fourteen million, six hundred sixteen thousand, sixty-four".