Search a number
-
+
41726850840 = 23335435997157
BaseRepresentation
bin100110110111000111…
…010011011100011000
310222201000102122112000
4212313013103130120
51140424033211330
631100303121000
73005013244233
oct466707233430
9128630378460
1041726850840
11167727a06a4
1281062a3160
133c1ca705ac
14203ba8241a
1511433e1560
hex9b71d3718

41726850840 has 512 divisors, whose sum is σ = 147159936000. Its totient is φ = 10506682368.

The previous prime is 41726850799. The next prime is 41726850859. The reversal of 41726850840 is 4805862714.

41726850840 is a `hidden beast` number, since 41 + 7 + 2 + 68 + 508 + 40 = 666.

It is a super-2 number, since 2×417268508402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 265776042 + ... + 265776198.

It is an arithmetic number, because the mean of its divisors is an integer number (287421750).

Almost surely, 241726850840 is an apocalyptic number.

41726850840 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 41726850840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73579968000).

41726850840 is an abundant number, since it is smaller than the sum of its proper divisors (105433085160).

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

41726850840 is a wasteful number, since it uses less digits than its factorization.

41726850840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 41726850840 in words is "forty-one billion, seven hundred twenty-six million, eight hundred fifty thousand, eight hundred forty".