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705034027008 = 2153217140627
BaseRepresentation
bin10100100001001110100…
…11011000000000000000
32111101211000220110120200
422100213103120000000
543022402202331013
61255515502005200
7101636254231053
oct12204723300000
92441730813520
10705034027008
112520043676a3
12b4782576800
135163b38074c
14261a3b02a9a
1513515ed0e73
hexa4274d8000

705034027008 has 192 divisors, whose sum is σ = 2156557099320. Its totient is φ = 221185572864.

The previous prime is 705034026997. The next prime is 705034027063. The reversal of 705034027008 is 800720430507.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4943191 + ... + 5083817.

Almost surely, 2705034027008 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 705034027008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078278549660).

705034027008 is an abundant number, since it is smaller than the sum of its proper divisors (1451523072312).

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

705034027008 is a wasteful number, since it uses less digits than its factorization.

705034027008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140680 (or 140649 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 705034027008 in words is "seven hundred five billion, thirty-four million, twenty-seven thousand, eight".