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2059512982956 = 223311133114233023
BaseRepresentation
bin11101111110000100100…
…010100010110110101100
321021212222000000121221000
4131332010202202312230
5232220340310423311
64214043250440300
7301536436341012
oct35760442426654
97255860017830
102059512982956
11724486429820
12293192893090
1311c2991339a0
14719767aa8b2
153888cace056
hex1df848a2dac

2059512982956 has 384 divisors, whose sum is σ = 6482000609280. Its totient is φ = 556928006400.

The previous prime is 2059512982913. The next prime is 2059512982963. The reversal of 2059512982956 is 6592892159502.

2059512982956 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 51 + 298 + 295 + 6 = 666.

It is a super-2 number, since 2×20595129829562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2059512982893 and 2059512982902.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 681279661 + ... + 681282683.

It is an arithmetic number, because the mean of its divisors is an integer number (16880209920).

Almost surely, 22059512982956 is an apocalyptic number.

2059512982956 is a gapful number since it is divisible by the number (26) 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 2059512982956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241000304640).

2059512982956 is an abundant number, since it is smaller than the sum of its proper divisors (4422487626324).

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

2059512982956 is a wasteful number, since it uses less digits than its factorization.

2059512982956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 2059512982956 in words is "two trillion, fifty-nine billion, five hundred twelve million, nine hundred eighty-two thousand, nine hundred fifty-six".