Search a number
-
+
46372709040 = 2435731228723
BaseRepresentation
bin101011001100000001…
…110110001010110000
311102200210102200212020
4223030001312022300
51224432403142130
633145304031440
73231105344310
oct531401661260
9142623380766
1046372709040
1118737204729
128ba2162580
1344b0425a08
14235cab9440
1513161e1e10
hexacc0762b0

46372709040 has 240 divisors, whose sum is σ = 169768491264. Its totient is φ = 10257200640.

The previous prime is 46372709023. The next prime is 46372709051. The reversal of 46372709040 is 4090727364.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 46372708983 and 46372709001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1600119 + ... + 1628841.

Almost surely, 246372709040 is an apocalyptic number.

46372709040 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 46372709040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84884245632).

46372709040 is an abundant number, since it is smaller than the sum of its proper divisors (123395782224).

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

46372709040 is a wasteful number, since it uses less digits than its factorization.

46372709040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28808 (or 28771 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 46372709040 in words is "forty-six billion, three hundred seventy-two million, seven hundred nine thousand, forty".