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64672641 = 33111712809
BaseRepresentation
bin1111011010110…
…1001110000001
311111200201012000
43312231032001
5113024011031
610230054213
71413464655
oct366551601
9144621160
1064672641
1133562570
12197aa369
1310524a47
148836a65
155a273e6
hex3dad381

64672641 has 32 divisors (see below), whose sum is σ = 110678400. Its totient is φ = 36887040.

The previous prime is 64672609. The next prime is 64672661. The reversal of 64672641 is 14627646.

64672641 is a `hidden beast` number, since 6 + 4 + 6 + 7 + 2 + 641 = 666.

It is not a de Polignac number, because 64672641 - 25 = 64672609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 64672596 and 64672605.

It is not an unprimeable number, because it can be changed into a prime (64672661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1356 + ... + 11453.

It is an arithmetic number, because the mean of its divisors is an integer number (3458700).

Almost surely, 264672641 is an apocalyptic number.

It is an amenable number.

64672641 is a deficient number, since it is larger than the sum of its proper divisors (46005759).

64672641 is a wasteful number, since it uses less digits than its factorization.

64672641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12846 (or 12840 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 64672641 is about 8041.9301787568. The cubic root of 64672641 is about 401.3964545302.

The spelling of 64672641 in words is "sixty-four million, six hundred seventy-two thousand, six hundred forty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 1683 5049 12809 38427 115281 140899 217753 345843 422697 653259 1268091 1959777 2395283 3804273 5879331 7185849 21557547 64672641