Search a number
-
+
41849195520 = 210351132389
BaseRepresentation
bin100110111110011010…
…000000110000000000
311000000112122101212110
4212332122000300000
51141201343224040
631120353255320
73011030202246
oct467632006000
9130015571773
1041849195520
1116825864000
12813b264540
133c3c2087b2
14205000c796
15114e00b980
hex9be680c00

41849195520 has 704 divisors, whose sum is σ = 155354526720. Its totient is φ = 9595125760.

The previous prime is 41849195501. The next prime is 41849195527. The reversal of 41849195520 is 2559194814.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41849195520.

It is not an unprimeable number, because it can be changed into a prime (41849195527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470215636 + ... + 470215724.

Almost surely, 241849195520 is an apocalyptic number.

41849195520 is a gapful number since it is divisible by the number (40) 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 41849195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77677263360).

41849195520 is an abundant number, since it is smaller than the sum of its proper divisors (113505331200).

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

41849195520 is a wasteful number, since it uses less digits than its factorization.

41849195520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 41849195520 in words is "forty-one billion, eight hundred forty-nine million, one hundred ninety-five thousand, five hundred twenty".