Search a number
-
+
46900985040 = 24335721389383
BaseRepresentation
bin101011101011100001…
…000011110011010000
311111001121110220022000
4223223201003303100
51232023123010130
633313534514000
73250151536500
oct535341036320
9144047426260
1046900985040
1118988424268
12910b065900
1345659cb170
1423acd11a00
151347793260
hexaeb843cd0

46900985040 has 960 divisors, whose sum is σ = 205186867200. Its totient is φ = 9758859264.

The previous prime is 46900985039. The next prime is 46900985059. The reversal of 46900985040 is 4058900964.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122456689 + ... + 122457071.

It is an arithmetic number, because the mean of its divisors is an integer number (213736320).

Almost surely, 246900985040 is an apocalyptic number.

46900985040 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 46900985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102593433600).

46900985040 is an abundant number, since it is smaller than the sum of its proper divisors (158285882160).

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

46900985040 is a wasteful number, since it uses less digits than its factorization.

46900985040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 46900985040 in words is "forty-six billion, nine hundred million, nine hundred eighty-five thousand, forty".