Search a number
-
+
19880755143984 = 2433723142171963
BaseRepresentation
bin1001000010100110110010…
…10110010010010100110000
32121101120201000020011222000
410201103121112102110300
510101211241304101414
6110141032015014000
74121223434331300
oct441233126222460
977346630204860
1019880755143984
116375420a96859
12229103480a300
13b129936a5637
144ca33b325600
15247226346b09
hex1214d9592530

19880755143984 has 480 divisors, whose sum is σ = 68686955182080. Its totient is φ = 5483849817600.

The previous prime is 19880755143979. The next prime is 19880755144037. The reversal of 19880755143984 is 48934155708891.

It is a happy number.

19880755143984 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 0 + 75 + 514 + 39 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276227587 + ... + 276299549.

It is an arithmetic number, because the mean of its divisors is an integer number (143097823296).

Almost surely, 219880755143984 is an apocalyptic number.

19880755143984 is a gapful number since it is divisible by the number (14) 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 19880755143984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34343477591040).

19880755143984 is an abundant number, since it is smaller than the sum of its proper divisors (48806200038096).

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

19880755143984 is a wasteful number, since it uses less digits than its factorization.

19880755143984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72446 (or 72427 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 19880755143984 in words is "nineteen trillion, eight hundred eighty billion, seven hundred fifty-five million, one hundred forty-three thousand, nine hundred eighty-four".