Search a number
-
+
19497250210944 = 27311217731791889
BaseRepresentation
bin1000110111011100011101…
…01011000100010010000000
32120000220210220001000222010
410123232032223010102000
510023420332023222234
6105244525121212520
74051426015230432
oct433561653042200
976026726030863
1019497250210944
1162378124a7400
12222a845791140
13ab577656915c
144b5959b64652
1523c27cb356e9
hex11bb8eac4480

19497250210944 has 768 divisors, whose sum is σ = 61473840624000. Its totient is φ = 5451011850240.

The previous prime is 19497250210909. The next prime is 19497250210951. The reversal of 19497250210944 is 44901205279491.

It is a super-2 number, since 2×194972502109442 (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 10321465552 + ... + 10321467440.

Almost surely, 219497250210944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19497250210944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30736920312000).

19497250210944 is an abundant number, since it is smaller than the sum of its proper divisors (41976590413056).

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

19497250210944 is a wasteful number, since it uses less digits than its factorization.

19497250210944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 19497250210944 in words is "nineteen trillion, four hundred ninety-seven billion, two hundred fifty million, two hundred ten thousand, nine hundred forty-four".