Search a number
-
+
46522905000 = 23354111323241
BaseRepresentation
bin101011010100111110…
…110011000110101000
311110002021001102222120
4223110332303012220
51230234330430000
633212231151240
73234611111355
oct532476630650
9143067042876
1046522905000
1118803a70120
129024515520
134505592b70
142374a1562c
1513244ae6a0
hexad4fb31a8

46522905000 has 960 divisors, whose sum is σ = 182846220480. Its totient is φ = 9715200000.

The previous prime is 46522904999. The next prime is 46522905017. The reversal of 46522905000 is 50922564.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 239 ways as a sum of consecutive naturals, for example, 1134704980 + ... + 1134705020.

It is an arithmetic number, because the mean of its divisors is an integer number (190464813).

Almost surely, 246522905000 is an apocalyptic number.

46522905000 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 46522905000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91423110240).

46522905000 is an abundant number, since it is smaller than the sum of its proper divisors (136323315480).

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

46522905000 is a wasteful number, since it uses less digits than its factorization.

46522905000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 46522905000 in words is "forty-six billion, five hundred twenty-two million, nine hundred five thousand".