Search a number
-
+
19914885365760 = 216335711233141
BaseRepresentation
bin1001000011100110010111…
…01010110000000000000000
32121111211210121021002111000
410201303023222300000000
510102241141123201020
6110204434432052000
74123542265410120
oct441631352600000
977454717232430
1019914885365760
116388945677610
12229777a994000
13b15c72654838
144cbc58100c80
1524807286a090
hex121ccbab0000

19914885365760 has 4352 divisors, whose sum is σ = 97409115095040. Its totient is φ = 3737124864000.

The previous prime is 19914885365741. The next prime is 19914885365813. The reversal of 19914885365760 is 6756358841991.

19914885365760 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 4 + 88 + 536 + 5 + 7 + 6 + 0 = 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 255 ways as a sum of consecutive naturals, for example, 485728911340 + ... + 485728911380.

Almost surely, 219914885365760 is an apocalyptic number.

19914885365760 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 19914885365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48704557547520).

19914885365760 is an abundant number, since it is smaller than the sum of its proper divisors (77494229729280).

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

19914885365760 is a wasteful number, since it uses less digits than its factorization.

19914885365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 19914885365760 in words is "nineteen trillion, nine hundred fourteen billion, eight hundred eighty-five million, three hundred sixty-five thousand, seven hundred sixty".