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5346076450 = 25211213101673
BaseRepresentation
bin1001111101010011…
…01010011100100010
3111210120120211012111
410332221222130202
541422043421300
62242252545534
7246323620501
oct47651523442
914716524174
105346076450
1122a37a2400
1210524822aa
1367276cc60
1438a02a838
152145179ba
hex13ea6a722

5346076450 has 144 divisors (see below), whose sum is σ = 11904816168. Its totient is φ = 1774080000.

The previous prime is 5346076409. The next prime is 5346076459. The reversal of 5346076450 is 546706435.

It can be written as a sum of positive squares in 12 ways, for example, as 354230041 + 4991846409 = 18821^2 + 70653^2 .

It is not an unprimeable number, because it can be changed into a prime (5346076459) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7943314 + ... + 7943986.

Almost surely, 25346076450 is an apocalyptic number.

5346076450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5346076450 is an abundant number, since it is smaller than the sum of its proper divisors (6558739718).

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

5346076450 is a wasteful number, since it uses less digits than its factorization.

5346076450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The square root of 5346076450 is about 73116.8684367705. The cubic root of 5346076450 is about 1748.5513398972.

The spelling of 5346076450 in words is "five billion, three hundred forty-six million, seventy-six thousand, four hundred fifty".

Divisors: 1 2 5 10 11 13 22 25 26 50 55 65 101 110 121 130 143 202 242 275 286 325 505 550 605 650 673 715 1010 1111 1210 1313 1346 1430 1573 2222 2525 2626 3025 3146 3365 3575 5050 5555 6050 6565 6730 7150 7403 7865 8749 11110 12221 13130 14443 14806 15730 16825 17498 24442 27775 28886 32825 33650 37015 39325 43745 55550 61105 65650 67973 72215 74030 78650 81433 87490 96239 122210 135946 144430 158873 162866 185075 192478 218725 305525 317746 339865 361075 370150 407165 437450 481195 611050 679730 722150 747703 794365 814330 883649 962390 1058629 1495406 1588730 1699325 1767298 2035825 2117258 2405975 3398650 3738515 3971825 4071650 4418245 4811950 5293145 7477030 7943650 8224733 8836490 9720139 10586290 16449466 18692575 19440278 22091225 26465725 37385150 41123665 44182450 48600695 52931450 82247330 97201390 106921529 205618325 213843058 243003475 411236650 486006950 534607645 1069215290 2673038225 5346076450