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5318789376 = 28323353853
BaseRepresentation
bin1001111010000011…
…00100100100000000
3111201200020111101010
410331001210210000
541343102230001
62235440040520
7245542651365
oct47501444400
914650214333
105318789376
11228a3551aa
121045303140
13669c07a64
1438656646c
15211e278d6
hex13d064900

5318789376 has 144 divisors (see below), whose sum is σ = 14830413696. Its totient is φ = 1689059328.

The previous prime is 5318789369. The next prime is 5318789383. The reversal of 5318789376 is 6739878135.

It is an interprime number because it is at equal distance from previous prime (5318789369) and next prime (5318789383).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6234966 + ... + 6235818.

It is an arithmetic number, because the mean of its divisors is an integer number (102988984).

Almost surely, 25318789376 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 5318789376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415206848).

5318789376 is an abundant number, since it is smaller than the sum of its proper divisors (9511624320).

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

5318789376 is a wasteful number, since it uses less digits than its factorization.

5318789376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1234 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 57.

The square root of 5318789376 is about 72930.0306869536. The cubic root of 5318789376 is about 1745.5713190183.

The spelling of 5318789376 in words is "five billion, three hundred eighteen million, seven hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 353 368 384 552 706 736 768 853 1059 1104 1412 1472 1706 2118 2208 2559 2824 2944 3412 4236 4416 5118 5648 5888 6824 8119 8472 8832 10236 11296 13648 16238 16944 17664 19619 20472 22592 24357 27296 32476 33888 39238 40944 45184 48714 54592 58857 64952 67776 78476 81888 90368 97428 109184 117714 129904 135552 156952 163776 194856 218368 235428 259808 271104 301109 313904 327552 389712 470856 519616 602218 627808 655104 779424 903327 941712 1039232 1204436 1255616 1558848 1806654 1883424 2078464 2408872 2511232 3117696 3613308 3766848 4817744 5022464 6235392 6925507 7226616 7533696 9635488 13851014 14453232 15067392 19270976 20776521 27702028 28906464 38541952 41553042 55404056 57812928 77083904 83106084 110808112 115625856 166212168 221616224 231251712 332424336 443232448 664848672 886464896 1329697344 1772929792 2659394688 5318789376