Search a number
-
+
46401351641 = 1711497237409
BaseRepresentation
bin101011001101101111…
…000110111111011001
311102202210022220010022
4223031233012333121
51230012221223031
633152210000225
73231603660401
oct531557067731
9142683286108
1046401351641
11187513982a7
128bab876075
1344b6343bb8
142362813801
15131899d97b
hexacdbc6fd9

46401351641 has 8 divisors (see below), whose sum is σ = 49135323240. Its totient is φ = 43667877888.

The previous prime is 46401351611. The next prime is 46401351649. The reversal of 46401351641 is 14615310464.

It can be written as a sum of positive squares in 4 ways, for example, as 8844462025 + 37556889616 = 94045^2 + 193796^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 46401351641 - 226 = 46334242777 is a prime.

It is a super-2 number, since 2×464013516412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46401351649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76745 + ... + 314153.

It is an arithmetic number, because the mean of its divisors is an integer number (6141915405).

Almost surely, 246401351641 is an apocalyptic number.

It is an amenable number.

46401351641 is a deficient number, since it is larger than the sum of its proper divisors (2733971599).

46401351641 is a wasteful number, since it uses less digits than its factorization.

46401351641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248923.

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 46401351641 in words is "forty-six billion, four hundred one million, three hundred fifty-one thousand, six hundred forty-one".

Divisors: 1 17 11497 195449 237409 4035953 2729491273 46401351641