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89938960064 = 2623419145823
BaseRepresentation
bin101001111000011000…
…1111001111011000000
322121011000000120001222
41103300301321323000
52433143333210224
6105152320014212
76332525355362
oct1236061717300
9277130016058
1089938960064
113516321a968
1215520461368
13863429cb85
1444d2b6cd32
152515d20b5e
hex14f0c79ec0

89938960064 has 56 divisors (see below), whose sum is σ = 186678051840. Its totient is φ = 42911331584.

The previous prime is 89938960031. The next prime is 89938960091. The reversal of 89938960064 is 46006983998.

It is a junction number, because it is equal to n+sod(n) for n = 89938959979 and 89938960006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543857 + ... + 689679.

It is an arithmetic number, because the mean of its divisors is an integer number (3333536640).

Almost surely, 289938960064 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 89938960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93339025920).

89938960064 is an abundant number, since it is smaller than the sum of its proper divisors (96739091776).

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

89938960064 is a wasteful number, since it uses less digits than its factorization.

89938960064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146277 (or 146267 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 62.

The spelling of 89938960064 in words is "eighty-nine billion, nine hundred thirty-eight million, nine hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 419 736 838 1472 1676 3352 6704 9637 13408 19274 26816 38548 77096 145823 154192 291646 308384 583292 616768 1166584 2333168 3353929 4666336 6707858 9332672 13415716 26831432 53662864 61099837 107325728 122199674 214651456 244399348 488798696 977597392 1405296251 1955194784 2810592502 3910389568 5621185004 11242370008 22484740016 44969480032 89938960064