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2081594970 = 23357413219
BaseRepresentation
bin111110000010010…
…1001111001011010
312101001212222111000
41330010221321122
513230342014340
6542315445430
7102404160000
oct17404517132
95331788430
102081594970
11979008124
124a1156876
13272345700
1415a658a70
15c2b2dd30
hex7c129e5a

2081594970 has 480 divisors, whose sum is σ = 7381195200. Its totient is φ = 416078208.

The previous prime is 2081594953. The next prime is 2081594987. The reversal of 2081594970 is 794951802.

2081594970 is a `hidden beast` number, since 2 + 0 + 8 + 159 + 497 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2081594953) and next prime (2081594987).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 109557621 + ... + 109557639.

It is an arithmetic number, because the mean of its divisors is an integer number (15377490).

Almost surely, 22081594970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081594970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690597600).

2081594970 is an abundant number, since it is smaller than the sum of its proper divisors (5299600230).

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

2081594970 is a wasteful number, since it uses less digits than its factorization.

2081594970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2081594970 is about 45624.4996684895. The cubic root of 2081594970 is about 1276.8270553477.

The spelling of 2081594970 in words is "two billion, eighty-one million, five hundred ninety-four thousand, nine hundred seventy".