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5349351630 = 2357313672239
BaseRepresentation
bin1001111101101100…
…01010000011001110
3111210210202012220110
410332312022003032
541423413223010
62242451100450
7246363511230
oct47666120316
914723665813
105349351630
1122a562a067
1210535a1726
1367334892c
1438a640250
15214963120
hex13ed8a0ce

5349351630 has 128 divisors (see below), whose sum is σ = 15193866240. Its totient is φ = 1179515520.

The previous prime is 5349351617. The next prime is 5349351641. The reversal of 5349351630 is 361539435.

It is a super-2 number, since 2×53493516302 = 57231125722767313800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2388051 + ... + 2390289.

It is an arithmetic number, because the mean of its divisors is an integer number (118702080).

Almost surely, 25349351630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5349351630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7596933120).

5349351630 is an abundant number, since it is smaller than the sum of its proper divisors (9844514610).

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

5349351630 is a wasteful number, since it uses less digits than its factorization.

5349351630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654.

The product of its (nonzero) digits is 145800, while the sum is 39.

The square root of 5349351630 is about 73139.2618912715. The cubic root of 5349351630 is about 1748.9083401104.

The spelling of 5349351630 in words is "five billion, three hundred forty-nine million, three hundred fifty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 367 434 465 651 734 930 1085 1101 1302 1835 2170 2202 2239 2569 3255 3670 4478 5138 5505 6510 6717 7707 11010 11195 11377 12845 13434 15414 15673 22390 22754 25690 31346 33585 34131 38535 47019 56885 67170 68262 69409 77070 78365 79639 94038 113770 138818 156730 159278 170655 208227 235095 238917 341310 347045 398195 416454 470190 477834 485863 694090 796390 821713 971726 1041135 1194585 1457589 1643426 2082270 2389170 2429315 2465139 2915178 4108565 4858630 4930278 5751991 7287945 8217130 11503982 12325695 14575890 17255973 24651390 25473103 28759955 34511946 50946206 57519910 76419309 86279865 127365515 152838618 172559730 178311721 254731030 356623442 382096545 534935163 764193090 891558605 1069870326 1783117210 2674675815 5349351630