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46685943143840 = 255711131392097091
BaseRepresentation
bin10101001110101111010110…
…00011101001110110100000
320010022010120122111200101102
422213113223003221312200
522104400302421100330
6243143120505253532
712555643123061420
oct1247275303516640
9203263518450342
1046685943143840
111396a440894020
1252a006ba942a8
132008608a69610
14b7587c736480
1555e61db47945
hex2a75eb0e9da0

46685943143840 has 384 divisors, whose sum is σ = 149154578012160. Its totient is φ = 13335479193600.

The previous prime is 46685943143831. The next prime is 46685943143843. The reversal of 46685943143840 is 4834134958664.

46685943143840 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×466859431438403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is not an unprimeable number, because it can be changed into a prime (46685943143843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21213695 + ... + 23310785.

It is an arithmetic number, because the mean of its divisors is an integer number (388423380240).

Almost surely, 246685943143840 is an apocalyptic number.

46685943143840 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 46685943143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74577289006080).

46685943143840 is an abundant number, since it is smaller than the sum of its proper divisors (102468634868320).

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

46685943143840 is a wasteful number, since it uses less digits than its factorization.

46685943143840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097276 (or 2097268 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 65.

The spelling of 46685943143840 in words is "forty-six trillion, six hundred eighty-five billion, nine hundred forty-three million, one hundred forty-three thousand, eight hundred forty".