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89542914048 = 2123372347107
BaseRepresentation
bin101001101100100101…
…1000111000000000000
322120010101210100002000
41103121023013000000
52431340441222143
6105045131224000
76316646132310
oct1233113070000
9276111710060
1089542914048
1134a7a705705
121542b8a8000
1385a0214213
144496317440
1524e118dbd3
hex14d92c7000

89542914048 has 832 divisors, whose sum is σ = 326109265920. Its totient is φ = 23726850048.

The previous prime is 89542914037. The next prime is 89542914061. The reversal of 89542914048 is 84041924598.

It is a happy number.

89542914048 is a `hidden beast` number, since 8 + 9 + 542 + 91 + 4 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 89542913985 and 89542914003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 836849611 + ... + 836849717.

Almost surely, 289542914048 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 89542914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163054632960).

89542914048 is an abundant number, since it is smaller than the sum of its proper divisors (236566351872).

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

89542914048 is a wasteful number, since it uses less digits than its factorization.

89542914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 89542914048 in words is "eighty-nine billion, five hundred forty-two million, nine hundred fourteen thousand, forty-eight".