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643632912 = 243313313697
BaseRepresentation
bin100110010111010…
…000111100010000
31122212002221101000
4212113100330100
52304232223122
6143511142000
721643534536
oct4627207420
91585087330
10643632912
1130034aa2a
1215b674900
13a3464ba0
14616a4156
153b78b0ac
hex265d0f10

643632912 has 160 divisors (see below), whose sum is σ = 2054312960. Its totient is φ = 191600640.

The previous prime is 643632907. The next prime is 643632917. The reversal of 643632912 is 219236346.

643632912 is a `hidden beast` number, since 6 + 4 + 3 + 632 + 9 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (643632907) and next prime (643632917).

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

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

It is not an unprimeable number, because it can be changed into a prime (643632917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172248 + ... + 175944.

It is an arithmetic number, because the mean of its divisors is an integer number (12839456).

Almost surely, 2643632912 is an apocalyptic number.

643632912 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643632912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027156480).

643632912 is an abundant number, since it is smaller than the sum of its proper divisors (1410680048).

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

643632912 is a wasteful number, since it uses less digits than its factorization.

643632912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3746 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 643632912 is about 25369.9214031104. The cubic root of 643632912 is about 863.4013986410.

The spelling of 643632912 in words is "six hundred forty-three million, six hundred thirty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 1116 1209 1404 1488 1612 1674 1872 2232 2418 2808 3224 3348 3627 3697 4464 4836 5616 6448 6696 7254 7394 9672 10881 11091 13392 14508 14788 19344 21762 22182 29016 29576 33273 43524 44364 48061 58032 59152 66546 87048 88728 96122 99819 114607 133092 144183 174096 177456 192244 199638 229214 266184 288366 343821 384488 399276 432549 458428 532368 576732 687642 768976 798552 865098 916856 1031463 1153464 1297647 1375284 1489891 1597104 1730196 1833712 2062926 2306928 2595294 2750568 2979782 3094389 3460392 4125852 4469673 5190588 5501136 5959564 6188778 6920784 8251704 8939346 10381176 11919128 12377556 13409019 16503408 17878692 20762352 23838256 24755112 26818038 35757384 40227057 49510224 53636076 71514768 80454114 107272152 160908228 214544304 321816456 643632912