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47142000648 = 233472750001
BaseRepresentation
bin101011111001111000…
…011101100000001000
311111200101222202120000
4223321320131200020
51233021323010043
633353504403000
73256136252061
oct537170354010
9144611882500
1047142000648
1118aa1480916
129177916460
1345a3916352
1423d2d2d568
15135da002d3
hexaf9e1d808

47142000648 has 40 divisors (see below), whose sum is σ = 132041253630. Its totient is φ = 15714000000.

The previous prime is 47142000617. The next prime is 47142000649. The reversal of 47142000648 is 84600024174.

47142000648 is a `hidden beast` number, since 4 + 7 + 1 + 4 + 2 + 0 + 0 + 0 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40490293284 + 6651707364 = 201222^2 + 81558^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47142000649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36374353 + ... + 36375648.

Almost surely, 247142000648 is an apocalyptic number.

It is an amenable number.

47142000648 is an abundant number, since it is smaller than the sum of its proper divisors (84899252982).

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

47142000648 is a wasteful number, since it uses less digits than its factorization.

47142000648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72750019 (or 72750006 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 47142000648 in words is "forty-seven billion, one hundred forty-two million, six hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 72750001 145500002 218250003 291000004 436500006 582000008 654750009 873000012 1309500018 1746000024 1964250027 2619000036 3928500054 5238000072 5892750081 7857000108 11785500162 15714000216 23571000324 47142000648