Search a number
-
+
41499419948532 = 2232713611793073779
BaseRepresentation
bin10010110111110010101100…
…01011110011010111110100
312102221022020221002111000100
421123321112023303113310
520414411303001323112
6224132323105314100
711512143212236110
oct1133712613632764
9172838227074010
1041499419948532
111224a894745187
1247a2a47935930
131a204bc77b340
14a36822ab2740
154be7661d92dc
hex25be562f35f4

41499419948532 has 576 divisors, whose sum is σ = 132423824332800. Its totient is φ = 10667640591360.

The previous prime is 41499419948527. The next prime is 41499419948551. The reversal of 41499419948532 is 23584991499414.

41499419948532 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 9 + 41 + 9 + 9 + 48 + 532 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10981585819 + ... + 10981589597.

It is an arithmetic number, because the mean of its divisors is an integer number (229902472800).

Almost surely, 241499419948532 is an apocalyptic number.

41499419948532 is a gapful number since it is divisible by the number (42) 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 41499419948532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66211912166400).

41499419948532 is an abundant number, since it is smaller than the sum of its proper divisors (90924404384268).

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

41499419948532 is a wasteful number, since it uses less digits than its factorization.

41499419948532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4351 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 41499419948532 in words is "forty-one trillion, four hundred ninety-nine billion, four hundred nineteen million, nine hundred forty-eight thousand, five hundred thirty-two".