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5311983376 = 24736131579
BaseRepresentation
bin1001111001001111…
…00110111100010000
3111201012102201022001
410330213212330100
541334331432001
62235034123344
7245431054000
oct47447467420
914635381261
105311983376
112286526807
121042b80554
13668693c3b
143856b4000
15211531001
hex13c9e6f10

5311983376 has 80 divisors (see below), whose sum is σ = 12029488000. Its totient is φ = 2271411072.

The previous prime is 5311983361. The next prime is 5311983427. The reversal of 5311983376 is 6733891135.

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, 3363355 + ... + 3364933.

It is an arithmetic number, because the mean of its divisors is an integer number (150368600).

Almost surely, 25311983376 is an apocalyptic number.

5311983376 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 5311983376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014744000).

5311983376 is an abundant number, since it is smaller than the sum of its proper divisors (6717504624).

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

5311983376 is a wasteful number, since it uses less digits than its factorization.

5311983376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2201 counting only the distinct ones).

The product of its digits is 408240, while the sum is 46.

The square root of 5311983376 is about 72883.3545879990. The cubic root of 5311983376 is about 1744.8264484228.

The spelling of 5311983376 in words is "five billion, three hundred eleven million, nine hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 613 686 784 1226 1372 1579 2452 2744 3158 4291 4904 5488 6316 8582 9808 11053 12632 17164 22106 25264 30037 34328 44212 60074 68656 77371 88424 120148 154742 176848 210259 240296 309484 420518 480592 541597 618968 841036 967927 1083194 1237936 1682072 1935854 2166388 3364144 3871708 4332776 6775489 7743416 8665552 13550978 15486832 27101956 47428423 54203912 94856846 108407824 189713692 331998961 379427384 663997922 758854768 1327995844 2655991688 5311983376