Search a number
-
+
147841026536448 = 21033723371934651
BaseRepresentation
bin100001100111010111101011…
…110111101011010000000000
3201101110110112100000020202000
4201213113223313223100000
5123334211410243131243
61242233121402024000
743066106313124620
oct4147275367532000
9641413470006660
10147841026536448
114311a0332aa353
12146b86b87a8000
13646546c93675b
142871788510880
151215a3eb885d3
hex8675ebdeb400

147841026536448 has 1408 divisors, whose sum is σ = 539143154442240. Its totient is φ = 39099668889600.

The previous prime is 147841026536407. The next prime is 147841026536453. The reversal of 147841026536448 is 844635620148741.

147841026536448 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 4 + 1 + 0 + 265 + 364 + 4 + 8 = 666.

147841026536448 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31786930923 + ... + 31786935573.

Almost surely, 2147841026536448 is an apocalyptic number.

147841026536448 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 147841026536448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269571577221120).

147841026536448 is an abundant number, since it is smaller than the sum of its proper divisors (391302127905792).

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

147841026536448 is a wasteful number, since it uses less digits than its factorization.

147841026536448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 147841026536448 in words is "one hundred forty-seven trillion, eight hundred forty-one billion, twenty-six million, five hundred thirty-six thousand, four hundred forty-eight".