Search a number
-
+
2063296512 = 211322331157
BaseRepresentation
bin111101011111011…
…0110100000000000
312022210110022201100
41322332312200000
513211200442022
6540423334400
7102062505504
oct17276664000
95283408640
102063296512
1196974a232
12496bb1400
1326b609914
14158054304
15c12171ac
hex7afb6800

2063296512 has 288 divisors, whose sum is σ = 6459747840. Its totient is φ = 632586240.

The previous prime is 2063296471. The next prime is 2063296517. The reversal of 2063296512 is 2156923602.

2063296512 is a `hidden beast` number, since 2 + 0 + 632 + 9 + 6 + 5 + 12 = 666.

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

It is a super-2 number, since 2×20632965122 = 8514384992862732288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2063296517) 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, 13141938 + ... + 13142094.

It is an arithmetic number, because the mean of its divisors is an integer number (22429680).

Almost surely, 22063296512 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 2063296512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229873920).

2063296512 is an abundant number, since it is smaller than the sum of its proper divisors (4396451328).

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

2063296512 is a wasteful number, since it uses less digits than its factorization.

2063296512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2063296512 is about 45423.5237734811. The cubic root of 2063296512 is about 1273.0746821356.

The spelling of 2063296512 in words is "two billion, sixty-three million, two hundred ninety-six thousand, five hundred twelve".