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2068634880 = 283251319727
BaseRepresentation
bin111101101001100…
…1101110100000000
312100011111112120200
41323103031310000
513214032304010
6541134005200
7102156051324
oct17323156400
95304445520
102068634880
11971766004
12498946800
1326c758710
14158a43984
15c191dcc0
hex7b4cdd00

2068634880 has 432 divisors, whose sum is σ = 8124654720. Its totient is φ = 481738752.

The previous prime is 2068634879. The next prime is 2068634933. The reversal of 2068634880 is 884368602.

It is a happy number.

2068634880 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 634 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×20686348802 = 8558500533505228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2845077 + ... + 2845803.

Almost surely, 22068634880 is an apocalyptic number.

2068634880 is a gapful number since it is divisible by the number (20) 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 2068634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062327360).

2068634880 is an abundant number, since it is smaller than the sum of its proper divisors (6056019840).

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

2068634880 is a wasteful number, since it uses less digits than its factorization.

2068634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2068634880 is about 45482.2479655525. The cubic root of 2068634880 is about 1274.1716788260.

The spelling of 2068634880 in words is "two billion, sixty-eight million, six hundred thirty-four thousand, eight hundred eighty".