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46200000047 = 1911263719141
BaseRepresentation
bin101011000001101111…
…000000111000101111
311102020202110011122212
4223001233000320233
51224104200000142
633120214201035
73223610343455
oct530157007057
9142222404585
1046200000047
1118658771923
128b5435317b
134483705646
142343b9c9d5
151305e78d82
hexac1bc0e2f

46200000047 has 8 divisors (see below), whose sum is σ = 46447986432. Its totient is φ = 45952077600.

The previous prime is 46200000023. The next prime is 46200000053. The reversal of 46200000047 is 74000000264.

46200000047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 46200000047 - 230 = 45126258223 is a prime.

It is a super-3 number, since 3×462000000473 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46199999968 and 46200000031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46200000347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2404097 + ... + 2423237.

It is an arithmetic number, because the mean of its divisors is an integer number (5805998304).

Almost surely, 246200000047 is an apocalyptic number.

46200000047 is a deficient number, since it is larger than the sum of its proper divisors (247986385).

46200000047 is a wasteful number, since it uses less digits than its factorization.

46200000047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31969.

The product of its (nonzero) digits is 1344, while the sum is 23.

The spelling of 46200000047 in words is "forty-six billion, two hundred million, forty-seven", and thus it is an aban number.

Divisors: 1 191 12637 19141 2413667 3655931 241884817 46200000047