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5359344816 = 243732314153
BaseRepresentation
bin1001111110111000…
…10001110010110000
3111211111112220222110
410333130101302300
541433443013231
62243445205320
7246544452000
oct47734216260
914744486873
105359344816
1123002350a1
121056a00840
13675437367
1438bac2000
15215789046
hex13f711cb0

5359344816 has 160 divisors (see below), whose sum is σ = 16848921600. Its totient is φ = 1464562176.

The previous prime is 5359344787. The next prime is 5359344817. The reversal of 5359344816 is 6184439535.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5359344817) 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 31 ways as a sum of consecutive naturals, for example, 371596 + ... + 385748.

It is an arithmetic number, because the mean of its divisors is an integer number (105305760).

Almost surely, 25359344816 is an apocalyptic number.

5359344816 is a gapful number since it is divisible by the number (56) 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 5359344816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424460800).

5359344816 is an abundant number, since it is smaller than the sum of its proper divisors (11489576784).

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

5359344816 is a wasteful number, since it uses less digits than its factorization.

5359344816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14208 (or 14188 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 5359344816 is about 73207.5461684108. The cubic root of 5359344816 is about 1749.9967146605.

The spelling of 5359344816 in words is "five billion, three hundred fifty-nine million, three hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 343 368 392 483 552 588 644 686 784 966 1029 1104 1127 1176 1288 1372 1932 2058 2254 2352 2576 2744 3381 3864 4116 4508 5488 6762 7728 7889 8232 9016 13524 14153 15778 16464 18032 23667 27048 28306 31556 42459 47334 54096 56612 63112 84918 94668 99071 113224 126224 169836 189336 198142 226448 297213 325519 339672 378672 396284 594426 651038 679344 693497 792568 976557 1188852 1302076 1386994 1585136 1953114 2080491 2278633 2377704 2604152 2773988 3906228 4160982 4557266 4755408 4854479 5208304 5547976 6835899 7812456 8321964 9114532 9708958 11095952 13671798 14563437 15624912 15950431 16643928 18229064 19417916 27343596 29126874 31900862 33287856 36458128 38835832 47851293 54687192 58253748 63801724 77671664 95702586 109374384 111653017 116507496 127603448 191405172 223306034 233014992 255206896 334959051 382810344 446612068 669918102 765620688 893224136 1339836204 1786448272 2679672408 5359344816