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2011960322028 = 2233101910920249
BaseRepresentation
bin11101010001110010001…
…011100010011111101100
321010100012222022011101000
4131101302023202133230
5230430443320301103
64140140512120300
7265234152364416
oct35216213423754
97110188264330
102011960322028
117062a4171848
12285b21536090
1311795b415ab7
146d5450dd9b6
1537508011aa3
hex1d4722e27ec

2011960322028 has 96 divisors (see below), whose sum is σ = 5268677400000. Its totient is φ = 663907622400.

The previous prime is 2011960321909. The next prime is 2011960322081. The reversal of 2011960322028 is 8202230691102.

It is a happy number.

2011960322028 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 9 + 603 + 2 + 20 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2011960321983 and 2011960322001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99350848 + ... + 99371096.

It is an arithmetic number, because the mean of its divisors is an integer number (54882056250).

Almost surely, 22011960322028 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 2011960322028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634338700000).

2011960322028 is an abundant number, since it is smaller than the sum of its proper divisors (3256717077972).

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

2011960322028 is a wasteful number, since it uses less digits than its factorization.

2011960322028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29472 (or 29464 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 2011960322028 in words is "two trillion, eleven billion, nine hundred sixty million, three hundred twenty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 5454 9109 10908 18218 20249 27327 36436 40498 54654 60747 80996 81981 109308 121494 163962 182241 242988 245943 327924 364482 491886 546723 728964 920009 983772 1093446 1840018 2045149 2186892 2760027 3680036 4090298 5520054 6135447 8180596 8280081 11040108 12270894 16560162 18406341 24541788 24840243 33120324 36812682 49680486 55219023 73625364 99360972 110438046 184448141 220876092 368896282 553344423 737792564 1106688846 1660033269 2213377692 3320066538 4980099807 6640133076 9960199614 18629262241 19920399228 37258524482 55887786723 74517048964 111775573446 167663360169 223551146892 335326720338 502990080507 670653440676 1005980161014 2011960322028