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46538683840 = 2651189149997
BaseRepresentation
bin101011010101111010…
…111111010111000000
311110010100202002111001
4223111322333113000
51230302400340330
633213553301344
73235162166665
oct532572772700
9143110662431
1046538683840
1118811967a90
129029864854
134508928b5c
142376b61a6c
151325a799ca
hexad5ebf5c0

46538683840 has 224 divisors, whose sum is σ = 123197112000. Its totient is φ = 16604037120.

The previous prime is 46538683831. The next prime is 46538683843. The reversal of 46538683840 is 4838683564.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46538683843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46678222 + ... + 46679218.

Almost surely, 246538683840 is an apocalyptic number.

46538683840 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 46538683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61598556000).

46538683840 is an abundant number, since it is smaller than the sum of its proper divisors (76658428160).

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

46538683840 is a wasteful number, since it uses less digits than its factorization.

46538683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 55.

The spelling of 46538683840 in words is "forty-six billion, five hundred thirty-eight million, six hundred eighty-three thousand, eight hundred forty".