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64412712 = 233371329113
BaseRepresentation
bin1111010110110…
…1110000101000
311111012111122000
43311231300220
5112442201322
610220331000
71411333110
oct365556050
9144174560
1064412712
11333a5251
12196a3a60
1310463640
1487aa040
1559c53ac
hex3d6dc28

64412712 has 256 divisors, whose sum is σ = 229824000. Its totient is φ = 16257024.

The previous prime is 64412693. The next prime is 64412723. The reversal of 64412712 is 21721446.

64412712 is a `hidden beast` number, since 644 + 1 + 2 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569968 + ... + 570080.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 264412712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64412712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

64412712 is an abundant number, since it is smaller than the sum of its proper divisors (165411288).

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

64412712 is a wasteful number, since it uses less digits than its factorization.

64412712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 64412712 is about 8025.7530487799. The cubic root of 64412712 is about 400.8579750479.

The spelling of 64412712 in words is "sixty-four million, four hundred twelve thousand, seven hundred twelve".