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46423546534440 = 23325373563614071
BaseRepresentation
bin10101000111000110100110…
…00000000001101000101000
320002101001021202222211002200
422203203103000001220220
522041100410403100230
6242422403255300200
712530663521514325
oct1243432300015050
9202331252884080
1046423546534440
111387912a839739
12525923b97a660
131cb994c6209ba
14b66ca9785b4c
155578b2869160
hex2a38d3001a28

46423546534440 has 192 divisors, whose sum is σ = 151549972928640. Its totient is φ = 12324473326080.

The previous prime is 46423546534411. The next prime is 46423546534457. The reversal of 46423546534440 is 4443564532464.

46423546534440 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 3 + 546 + 53 + 4 + 4 + 40 = 666.

It is a super-2 number, since 2×464235465344402 (a number of 28 digits) contains 22 as substring.

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, 75292605 + ... + 75906675.

It is an arithmetic number, because the mean of its divisors is an integer number (789322775670).

Almost surely, 246423546534440 is an apocalyptic number.

46423546534440 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 46423546534440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75774986464320).

46423546534440 is an abundant number, since it is smaller than the sum of its proper divisors (105126426394200).

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

46423546534440 is a wasteful number, since it uses less digits than its factorization.

46423546534440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615024 (or 615017 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 54.

The spelling of 46423546534440 in words is "forty-six trillion, four hundred twenty-three billion, five hundred forty-six million, five hundred thirty-four thousand, four hundred forty".