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471429437664 = 25317288866077
BaseRepresentation
bin1101101110000110110…
…00100101100011100000
31200001211201122202201010
412313003120211203200
530210441414001124
61000323252540520
746026314050263
oct6670330454340
91601751582633
10471429437664
11171a2869a109
1277448921740
13355bcc704a3
1418b62990cda
15c3e2766529
hex6dc36258e0

471429437664 has 48 divisors (see below), whose sum is σ = 1310296529808. Its totient is φ = 147899430912.

The previous prime is 471429437663. The next prime is 471429437693. The reversal of 471429437664 is 466734924174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×4714294376643 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471429437663) 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, 144431407 + ... + 144434670.

It is an arithmetic number, because the mean of its divisors is an integer number (27297844371).

Almost surely, 2471429437664 is an apocalyptic number.

It is an amenable number.

471429437664 is an abundant number, since it is smaller than the sum of its proper divisors (838867092144).

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

471429437664 is a wasteful number, since it uses less digits than its factorization.

471429437664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288866107 (or 288866099 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 57.

The spelling of 471429437664 in words is "four hundred seventy-one billion, four hundred twenty-nine million, four hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 288866077 577732154 866598231 1155464308 1733196462 2310928616 3466392924 4621857232 4910723309 6932785848 9243714464 9821446618 13865571696 14732169927 19642893236 27731143392 29464339854 39285786472 58928679708 78571572944 117857359416 157143145888 235714718832 471429437664