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89494195911120 = 2433571113173178541
BaseRepresentation
bin10100010110010011111101…
…110000011011100111010000
3102201212120011101110022002000
4110112103331300123213100
543212233103123123440
6514201022132354000
724564512413614330
oct2426237560334720
9381776141408060
1089494195911120
11265743035348a0
12a0546a9175900
133ac2360559050
141815783acb0c0
15a52e3940d730
hex5164fdc1b9d0

89494195911120 has 2560 divisors, whose sum is σ = 452372966277120. Its totient is φ = 15634612224000.

The previous prime is 89494195911083. The next prime is 89494195911143. The reversal of 89494195911120 is 2111959149498.

89494195911120 is a `hidden beast` number, since 8 + 9 + 4 + 9 + 4 + 1 + 9 + 591 + 11 + 20 = 666.

It is a super-3 number, since 3×894941959111203 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 511 ways as a sum of consecutive naturals, for example, 1139419050 + ... + 1139497590.

It is an arithmetic number, because the mean of its divisors is an integer number (176708189952).

Almost surely, 289494195911120 is an apocalyptic number.

89494195911120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89494195911120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226186483138560).

89494195911120 is an abundant number, since it is smaller than the sum of its proper divisors (362878770366000).

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

89494195911120 is a wasteful number, since it uses less digits than its factorization.

89494195911120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78642 (or 78630 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 63.

The spelling of 89494195911120 in words is "eighty-nine trillion, four hundred ninety-four billion, one hundred ninety-five million, nine hundred eleven thousand, one hundred twenty".