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989894574130176 = 2103211131941964213
BaseRepresentation
bin1110000100010011011100101…
…0011101001100010000000000
311210210220222220212112221122100
43201010313022131030100000
52014221413041434131201
613425155142304110400
7415335344230453221
oct34104671235142000
94723828825487570
10989894574130176
11267457a27664190
129303424a005400
1333646872262470
141366321dc89248
157969669b43886
hex3844dca74c400

989894574130176 has 1056 divisors, whose sum is σ = 3620955568164480. Its totient is φ = 255921920409600.

The previous prime is 989894574130129. The next prime is 989894574130201. The reversal of 989894574130176 is 671031475498989.

989894574130176 is a `hidden beast` number, since 9 + 8 + 9 + 8 + 9 + 4 + 574 + 1 + 30 + 1 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 989894574130095 and 989894574130104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1026152646 + ... + 1027116858.

Almost surely, 2989894574130176 is an apocalyptic number.

989894574130176 is a gapful number since it is divisible by the number (96) 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 989894574130176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810477784082240).

989894574130176 is an abundant number, since it is smaller than the sum of its proper divisors (2631060994034304).

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

989894574130176 is a wasteful number, since it uses less digits than its factorization.

989894574130176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964323 (or 964302 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 989894574130176 in words is "nine hundred eighty-nine trillion, eight hundred ninety-four billion, five hundred seventy-four million, one hundred thirty thousand, one hundred seventy-six".