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4545314304 = 29329671523
BaseRepresentation
bin1000011101110101…
…11111111000000000
3102201202210220001020
410032322333320000
533302100024204
62031005505440
7220431351126
oct41672777000
912652726036
104545314304
111a22790a03
12a6a272280
135758b11bb
14311943916
151b908ebd9
hex10eebfe00

4545314304 has 160 divisors (see below), whose sum is σ = 12721864320. Its totient is φ = 1440079872.

The previous prime is 4545314299. The next prime is 4545314341. The reversal of 4545314304 is 4034135454.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2983687 + ... + 2985209.

It is an arithmetic number, because the mean of its divisors is an integer number (79511652).

Almost surely, 24545314304 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 4545314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360932160).

4545314304 is an abundant number, since it is smaller than the sum of its proper divisors (8176550016).

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

4545314304 is a wasteful number, since it uses less digits than its factorization.

4545314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 4545314304 is about 67418.9461798388. The cubic root of 4545314304 is about 1656.4867760810.

Adding to 4545314304 its reverse (4034135454), we get a palindrome (8579449758).

The spelling of 4545314304 in words is "four billion, five hundred forty-five million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 67 87 96 116 128 134 174 192 201 232 256 268 348 384 402 464 512 536 696 768 804 928 1072 1392 1523 1536 1608 1856 1943 2144 2784 3046 3216 3712 3886 4288 4569 5568 5829 6092 6432 7424 7772 8576 9138 11136 11658 12184 12864 14848 15544 17152 18276 22272 23316 24368 25728 31088 34304 36552 44167 44544 46632 48736 51456 62176 73104 88334 93264 97472 102041 102912 124352 132501 146208 176668 186528 194944 204082 248704 265002 292416 306123 353336 373056 389888 408164 497408 530004 584832 612246 706672 746112 779776 816328 994816 1060008 1169664 1224492 1413344 1492224 1632656 2120016 2339328 2448984 2826688 2959189 2984448 3265312 4240032 4897968 5653376 5918378 6530624 8480064 8877567 9795936 11306752 11836756 13061248 16960128 17755134 19591872 22613504 23673512 26122496 33920256 35510268 39183744 47347024 52244992 67840512 71020536 78367488 94694048 142041072 156734976 189388096 284082144 378776192 568164288 757552384 1136328576 1515104768 2272657152 4545314304