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2181980196396 = 22387111383059
BaseRepresentation
bin11111110000001000001…
…001111000111000101100
321201121001221200200000000
4133300020021320320230
5241222143412241041
64350215440104300
7313433334436350
oct37601011707054
97647057620000
102181980196396
11771410a33910
122b2a70905090
1312a9b550b060
147787366b460
153bb59485bb6
hex1fc08278e2c

2181980196396 has 432 divisors, whose sum is σ = 7690037671680. Its totient is φ = 523145796480.

The previous prime is 2181980196379. The next prime is 2181980196463. The reversal of 2181980196396 is 6936910891812.

2181980196396 is a `hidden beast` number, since 2 + 1 + 81 + 9 + 80 + 1 + 96 + 396 = 666.

It is a super-2 number, since 2×21819801963962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26228715 + ... + 26311773.

Almost surely, 22181980196396 is an apocalyptic number.

2181980196396 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 2181980196396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845018835840).

2181980196396 is an abundant number, since it is smaller than the sum of its proper divisors (5508057475284).

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

2181980196396 is a wasteful number, since it uses less digits than its factorization.

2181980196396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83118 (or 83095 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 2181980196396 in words is "two trillion, one hundred eighty-one billion, nine hundred eighty million, one hundred ninety-six thousand, three hundred ninety-six".