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46640543224 = 231110315313361
BaseRepresentation
bin101011011011111111…
…100011010111111000
311110101110102002021211
4223123333203113320
51231004434340344
633232032412504
73240540035062
oct533377432770
9143343362254
1046640543224
11188644094a0
1290579a7134
134523a70a92
1423864b8732
15132e99a334
hexadbfe35f8

46640543224 has 64 divisors (see below), whose sum is σ = 96418932480. Its totient is φ = 20974464000.

The previous prime is 46640543221. The next prime is 46640543231. The reversal of 46640543224 is 42234504664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46640543221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13875304 + ... + 13878664.

It is an arithmetic number, because the mean of its divisors is an integer number (1506545820).

Almost surely, 246640543224 is an apocalyptic number.

46640543224 is a gapful number since it is divisible by the number (44) 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 46640543224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48209466240).

46640543224 is an abundant number, since it is smaller than the sum of its proper divisors (49778389256).

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

46640543224 is a wasteful number, since it uses less digits than its factorization.

46640543224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

The spelling of 46640543224 in words is "forty-six billion, six hundred forty million, five hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 103 206 412 824 1133 1531 2266 3062 3361 4532 6124 6722 9064 12248 13444 16841 26888 33682 36971 67364 73942 134728 147884 157693 295768 315386 346183 630772 692366 1261544 1384732 1734623 2769464 3469246 3808013 5145691 6938492 7616026 10291382 13876984 15232052 20582764 30464104 41165528 56602601 113205202 226410404 452820808 530006173 1060012346 2120024692 4240049384 5830067903 11660135806 23320271612 46640543224