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89543047797216 = 253213475359162731
BaseRepresentation
bin10100010111000001011101…
…100011100101100111100000
3102202001020020221220020111200
4110113001131203211213200
543214033130214002331
6514235301442041200
724601162125033246
oct2427013543454740
9382036227806450
1089543047797216
1126592aa210a982
12a062061649200
133ac6b474a0320
141817c99b56796
15a543480b65e6
hex51705d8e59e0

89543047797216 has 576 divisors, whose sum is σ = 290182452618240. Its totient is φ = 26008138690560.

The previous prime is 89543047797197. The next prime is 89543047797239. The reversal of 89543047797216 is 61279774034598.

89543047797216 is a `hidden beast` number, since 8 + 9 + 5 + 43 + 0 + 477 + 97 + 21 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 550170571 + ... + 550333301.

It is an arithmetic number, because the mean of its divisors is an integer number (503788980240).

It is a 2-persistent number, because it is pandigital, and so is 2⋅89543047797216 = 179086095594432, but 3⋅89543047797216 = 268629143391648 is not.

Almost surely, 289543047797216 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 89543047797216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145091226309120).

89543047797216 is an abundant number, since it is smaller than the sum of its proper divisors (200639404821024).

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

89543047797216 is a wasteful number, since it uses less digits than its factorization.

89543047797216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162919 (or 162908 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 89543047797216 in words is "eighty-nine trillion, five hundred forty-three billion, forty-seven million, seven hundred ninety-seven thousand, two hundred sixteen".