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46831838130 = 2325711291991171
BaseRepresentation
bin101011100111011001…
…010010001110110010
311110212210100212120100
4223213121102032302
51231402422310010
633303024453230
73245352025140
oct534731221662
9143783325510
1046831838130
1118952396160
1290aba7a216
13455459aa2c
1423a3a72590
1513416852c0
hexae76523b2

46831838130 has 384 divisors, whose sum is σ = 157966848000. Its totient is φ = 9340531200.

The previous prime is 46831838093. The next prime is 46831838149. The reversal of 46831838130 is 3183813864.

46831838130 is a `hidden beast` number, since 468 + 3 + 1 + 83 + 81 + 30 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 39992445 + ... + 39993615.

It is an arithmetic number, because the mean of its divisors is an integer number (411372000).

Almost surely, 246831838130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46831838130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78983424000).

46831838130 is an abundant number, since it is smaller than the sum of its proper divisors (111135009870).

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

46831838130 is a wasteful number, since it uses less digits than its factorization.

46831838130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 46831838130 in words is "forty-six billion, eight hundred thirty-one million, eight hundred thirty-eight thousand, one hundred thirty".