Search a number
-
+
19172985041448 = 23327371537766863
BaseRepresentation
bin1000101110000000011101…
…11101100111001000101000
32111212220211021220200100200
410113000032331213020220
510003112233132311243
6104435540413232200
74016126304612510
oct427001675471050
974786737820320
1019172985041448
116122243243117
122197a29a92660
13a9100a519cb4
144a3d980bc840
15233b00056ad3
hex11700ef67228

19172985041448 has 192 divisors, whose sum is σ = 60953746613760. Its totient is φ = 5329515460608.

The previous prime is 19172985041303. The next prime is 19172985041453. The reversal of 19172985041448 is 84414058927191.

19172985041448 is a `hidden beast` number, since 1 + 9 + 1 + 72 + 9 + 8 + 504 + 14 + 48 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286716865 + ... + 286783727.

It is an arithmetic number, because the mean of its divisors is an integer number (317467430280).

Almost surely, 219172985041448 is an apocalyptic number.

19172985041448 is a gapful number since it is divisible by the number (18) 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 19172985041448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30476873306880).

19172985041448 is an abundant number, since it is smaller than the sum of its proper divisors (41780761572312).

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

19172985041448 is a wasteful number, since it uses less digits than its factorization.

19172985041448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82296 (or 82289 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 19172985041448 in words is "nineteen trillion, one hundred seventy-two billion, nine hundred eighty-five million, forty-one thousand, four hundred forty-eight".