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2086066242 = 2321323338261
BaseRepresentation
bin111110001010110…
…1101100001000010
312101101022010220200
41330111231201002
513233013104432
6542555350030
7102460161531
oct17425554102
95341263820
102086066242
11980591497
124a2752316
1327324c930
1415b0a0318
15c3213a7c
hex7c56d842

2086066242 has 48 divisors (see below), whose sum is σ = 4888506168. Its totient is φ = 639095040.

The previous prime is 2086066231. The next prime is 2086066249. The reversal of 2086066242 is 2426606802.

2086066242 is a `hidden beast` number, since 2 + 0 + 8 + 606 + 6 + 2 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1637092521 + 448973721 = 40461^2 + 21189^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2086066197 and 2086066206.

It is not an unprimeable number, because it can be changed into a prime (2086066249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35392 + ... + 73652.

Almost surely, 22086066242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2086066242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444253084).

2086066242 is an abundant number, since it is smaller than the sum of its proper divisors (2802439926).

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

2086066242 is a wasteful number, since it uses less digits than its factorization.

2086066242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38515 (or 38512 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2086066242 is about 45673.4741617057. The cubic root of 2086066242 is about 1277.7406109523.

The spelling of 2086066242 in words is "two billion, eighty-six million, sixty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 233 234 466 699 1398 2097 3029 4194 6058 9087 18174 27261 38261 54522 76522 114783 229566 344349 497393 688698 994786 1492179 2984358 4476537 8914813 8953074 17829626 26744439 53488878 80233317 115892569 160466634 231785138 347677707 695355414 1043033121 2086066242