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46683861840 = 243357112171979
BaseRepresentation
bin101011011110100100…
…110011001101010000
311110111110220220021000
4223132210303031100
51231102032034330
633240221102000
73241604164320
oct533644631520
9143443826230
1046683861840
1118886906400
12906a3b7900
13452ca29cb5
14238c153280
1513336a5560
hexade933350

46683861840 has 1920 divisors, whose sum is σ = 227985408000. Its totient is φ = 8539914240.

The previous prime is 46683861827. The next prime is 46683861863. The reversal of 46683861840 is 4816838664.

46683861840 is a `hidden beast` number, since 466 + 83 + 8 + 61 + 8 + 40 = 666.

46683861840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 590934921 + ... + 590934999.

It is an arithmetic number, because the mean of its divisors is an integer number (118742400).

Almost surely, 246683861840 is an apocalyptic number.

46683861840 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 46683861840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113992704000).

46683861840 is an abundant number, since it is smaller than the sum of its proper divisors (181301546160).

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

46683861840 is a wasteful number, since it uses less digits than its factorization.

46683861840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 46683861840 in words is "forty-six billion, six hundred eighty-three million, eight hundred sixty-one thousand, eight hundred forty".