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2062063872 = 28331137733
BaseRepresentation
bin111101011101000…
…1001100100000000
312022201010200212000
41322322021210000
513210342020442
6540341104000
7102046153011
oct17272114400
95281120760
102062063872
11968a88120
124966b8000
1326b29784b
14157c13008
15c1071d4c
hex7ae89900

2062063872 has 288 divisors, whose sum is σ = 6841349760. Its totient is φ = 607150080.

The previous prime is 2062063849. The next prime is 2062063907. The reversal of 2062063872 is 2783602602.

2062063872 is a `hidden beast` number, since 20 + 620 + 6 + 3 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2812818 + ... + 2813550.

Almost surely, 22062063872 is an apocalyptic number.

2062063872 is a gapful number since it is divisible by the number (22) 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 2062063872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420674880).

2062063872 is an abundant number, since it is smaller than the sum of its proper divisors (4779285888).

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

2062063872 is a wasteful number, since it uses less digits than its factorization.

2062063872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2062063872 is about 45409.9534463536. The cubic root of 2062063872 is about 1272.8211145450.

The spelling of 2062063872 in words is "two billion, sixty-two million, sixty-three thousand, eight hundred seventy-two".