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2010475332 = 2232617331249
BaseRepresentation
bin111011111010101…
…0110101101000100
312012010001201200100
41313311112231010
513104140202312
6531255244100
7100551521055
oct16765265504
95163051610
102010475332
11941951968
12481379630
132606a4398
1415102472c
15bb7815dc
hex77d56b44

2010475332 has 72 divisors (see below), whose sum is σ = 5176535000. Its totient is φ = 657745920.

The previous prime is 2010475307. The next prime is 2010475343. The reversal of 2010475332 is 2335740102.

2010475332 is a `hidden beast` number, since 20 + 104 + 7 + 533 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 254530116 + 1755945216 = 15954^2 + 41904^2 .

It is a super-2 number, since 2×20104753322 = 8084022121161020448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2010475296 and 2010475305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1609044 + ... + 1610292.

Almost surely, 22010475332 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 2010475332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588267500).

2010475332 is an abundant number, since it is smaller than the sum of its proper divisors (3166059668).

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

2010475332 is a wasteful number, since it uses less digits than its factorization.

2010475332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2010475332 is about 44838.3243665505. The cubic root of 2010475332 is about 1262.1169025131.

The spelling of 2010475332 in words is "two billion, ten million, four hundred seventy-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 733 1098 1249 1466 2196 2199 2498 2932 3747 4398 4996 6597 7494 8796 11241 13194 14988 22482 26388 44713 44964 76189 89426 134139 152378 178852 228567 268278 304756 402417 457134 536556 685701 804834 914268 915517 1371402 1609668 1831034 2742804 2746551 3662068 5493102 8239653 10986204 16479306 32958612 55846537 111693074 167539611 223386148 335079222 502618833 670158444 1005237666 2010475332