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19947153098880 = 273257288380039
BaseRepresentation
bin1001000100100010011101…
…11110011000100010000000
32121121221002101200202212200
410202101032332120202000
510103303232143131010
6110231332353353200
74126064022540600
oct442211676304200
977557071622780
1019947153098880
1163a05a39a3047
1222a1a85268800
13b190157a5047
144cd6397b8c00
15248d105decc0
hex12244ef98880

19947153098880 has 576 divisors, whose sum is σ = 80217474292800. Its totient is φ = 4554128904192.

The previous prime is 19947153098879. The next prime is 19947153098941. The reversal of 19947153098880 is 8889035174991.

It is a happy number.

19947153098880 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 7 + 1 + 530 + 9 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 19947153098799 and 19947153098808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249177901 + ... + 249257939.

It is an arithmetic number, because the mean of its divisors is an integer number (139266448425).

Almost surely, 219947153098880 is an apocalyptic number.

19947153098880 is a gapful number since it is divisible by the number (10) 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 19947153098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40108737146400).

19947153098880 is an abundant number, since it is smaller than the sum of its proper divisors (60270321193920).

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

19947153098880 is a wasteful number, since it uses less digits than its factorization.

19947153098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80961 (or 80939 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 72.

The spelling of 19947153098880 in words is "nineteen trillion, nine hundred forty-seven billion, one hundred fifty-three million, ninety-eight thousand, eight hundred eighty".