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4452330096 = 2432296715913
BaseRepresentation
bin1000010010110000…
…10010101001110000
3102111021211210200200
410021120102221300
533104244030341
62013444515200
7215222116134
oct41130225160
912437753620
104452330096
111985251555
12a430abb00
1355c555b66
1430345b3c4
151b0d23db6
hex109612a70

4452330096 has 120 divisors (see below), whose sum is σ = 13083217680. Its totient is φ = 1411458048.

The previous prime is 4452330083. The next prime is 4452330131. The reversal of 4452330096 is 6900332544.

4452330096 is a `hidden beast` number, since 44 + 523 + 3 + 0 + 0 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4452330096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271836 + ... + 287748.

It is an arithmetic number, because the mean of its divisors is an integer number (109026814).

Almost surely, 24452330096 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 4452330096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541608840).

4452330096 is an abundant number, since it is smaller than the sum of its proper divisors (8630887584).

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

4452330096 is a wasteful number, since it uses less digits than its factorization.

4452330096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16023 (or 16014 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 4452330096 is about 66725.7828429161. The cubic root of 4452330096 is about 1645.1131928158.

The spelling of 4452330096 in words is "four billion, four hundred fifty-two million, three hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 67 72 87 116 134 144 174 201 232 261 268 348 402 464 522 536 603 696 804 1044 1072 1206 1392 1608 1943 2088 2412 3216 3886 4176 4824 5829 7772 9648 11658 15544 15913 17487 23316 31088 31826 34974 46632 47739 63652 69948 93264 95478 127304 139896 143217 190956 254608 279792 286434 381912 461477 572868 763824 922954 1066171 1145736 1384431 1845908 2132342 2291472 2768862 3198513 3691816 4153293 4264684 5537724 6397026 7383632 8306586 8529368 9595539 11075448 12794052 16613172 17058736 19191078 22150896 25588104 30918959 33226344 38382156 51176208 61837918 66452688 76764312 92756877 123675836 153528624 185513754 247351672 278270631 371027508 494703344 556541262 742055016 1113082524 1484110032 2226165048 4452330096