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46306040452432 = 2417179549948169
BaseRepresentation
bin10101000011101011101110…
…00101111001010101010000
320001221210222120120100221021
422201311313011321111100
522032134232323434212
6242252411252205224
712516333564350005
oct1241656705712520
9201853876510837
1046306040452432
1113833310704072
12523a507309814
131cab844016667
14b6131d7498ac
155547d67dc307
hex2a1d77179550

46306040452432 has 40 divisors (see below), whose sum is σ = 94996109313000. Its totient is φ = 21790933512192.

The previous prime is 46306040452387. The next prime is 46306040452519. The reversal of 46306040452432 is 23425404060364.

46306040452432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28519274038336 + 17786766414096 = 5340344^2 + 4217436^2 .

It is a congruent number.

It is an unprimeable number.

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, 48363244 + ... + 49311412.

It is an arithmetic number, because the mean of its divisors is an integer number (2374902732825).

Almost surely, 246306040452432 is an apocalyptic number.

It is an amenable number.

46306040452432 is an abundant number, since it is smaller than the sum of its proper divisors (48690068860568).

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

46306040452432 is a wasteful number, since it uses less digits than its factorization.

46306040452432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127743 (or 1127737 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 43.

The spelling of 46306040452432 in words is "forty-six trillion, three hundred six billion, forty million, four hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 179549 359098 718196 948169 1436392 1896338 2872784 3052333 3792676 6104666 7585352 12209332 15170704 16118873 24418664 32237746 48837328 64475492 128950984 257901968 170242795781 340485591562 680971183124 1361942366248 2723884732496 2894127528277 5788255056554 11576510113108 23153020226216 46306040452432