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712216064 = 2971910459
BaseRepresentation
bin101010011100111…
…000111000000000
31211122011022202202
4222130320320000
52424311403224
6154401132332
723435510450
oct5234707000
91748138682
10712216064
1133603351a
1217a62a0a8
13b4728831
146a837d60
15427d6eae
hex2a738e00

712216064 has 80 divisors (see below), whose sum is σ = 1712092800. Its totient is φ = 289142784.

The previous prime is 712216049. The next prime is 712216069. The reversal of 712216064 is 460612217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712216069) 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, 62867 + ... + 73325.

It is an arithmetic number, because the mean of its divisors is an integer number (21401160).

Almost surely, 2712216064 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 712216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856046400).

712216064 is an abundant number, since it is smaller than the sum of its proper divisors (999876736).

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

712216064 is a wasteful number, since it uses less digits than its factorization.

712216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10503 (or 10487 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 712216064 is about 26687.3764915175. The cubic root of 712216064 is about 893.0393349522.

The spelling of 712216064 in words is "seven hundred twelve million, two hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1064 1216 1792 2128 2432 3584 4256 4864 8512 9728 10459 17024 20918 34048 41836 68096 73213 83672 146426 167344 198721 292852 334688 397442 585704 669376 794884 1171408 1338752 1391047 1589768 2342816 2677504 2782094 3179536 4685632 5355008 5564188 6359072 9371264 11128376 12718144 18742528 22256752 25436288 37485056 44513504 50872576 89027008 101745152 178054016 356108032 712216064