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89469870336 = 28327112192127
BaseRepresentation
bin101001101010011010…
…0011110000100000000
322112221022100022221100
41103110310132010000
52431213241322321
6105034001454400
76315101231010
oct1232464360400
9275838308840
1089469870336
1134a42455900
121540b341400
13858b04b1a2
14448a741c40
1524d9a61326
hex14d4d1e100

89469870336 has 972 divisors, whose sum is σ = 344699636736. Its totient is φ = 21842472960.

The previous prime is 89469870307. The next prime is 89469870341. The reversal of 89469870336 is 63307896498.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 704487105 + ... + 704487231.

Almost surely, 289469870336 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 89469870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172349818368).

89469870336 is an abundant number, since it is smaller than the sum of its proper divisors (255229766400).

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

89469870336 is a wasteful number, since it uses less digits than its factorization.

89469870336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

It can be divided in two parts, 89469 and 870336, that added together give a triangular number (959805 = T1385).

The spelling of 89469870336 in words is "eighty-nine billion, four hundred sixty-nine million, eight hundred seventy thousand, three hundred thirty-six".