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5173974416 = 2413892771009
BaseRepresentation
bin1001101000110010…
…01001010110010000
3111100120202010121002
410310121021112100
541044014140131
62213224121132
7242134025342
oct46431112620
914316663532
105173974416
112215634616
1210049061a8
13645c02c30
1437122b292
1520436e6cb
hex134649590

5173974416 has 80 divisors (see below), whose sum is σ = 10967266800. Its totient is φ = 2350301184.

The previous prime is 5173974401. The next prime is 5173974437. The reversal of 5173974416 is 6144793715.

It can be written as a sum of positive squares in 8 ways, for example, as 1840066816 + 3333907600 = 42896^2 + 57740^2 .

It is a super-2 number, since 2×51739744162 = 53540022514845082112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5127320 + ... + 5128328.

It is an arithmetic number, because the mean of its divisors is an integer number (137090835).

Almost surely, 25173974416 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 5173974416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483633400).

5173974416 is an abundant number, since it is smaller than the sum of its proper divisors (5793292384).

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

5173974416 is a wasteful number, since it uses less digits than its factorization.

5173974416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1390 counting only the distinct ones).

The product of its digits is 635040, while the sum is 47.

The square root of 5173974416 is about 71930.3441949224. The cubic root of 5173974416 is about 1729.5830703658.

The spelling of 5173974416 in words is "five billion, one hundred seventy-three million, nine hundred seventy-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 208 277 356 554 712 1009 1108 1157 1424 2018 2216 2314 3601 4036 4432 4628 7202 8072 9256 13117 14404 16144 18512 24653 26234 28808 49306 52468 57616 89801 98612 104936 179602 197224 209872 279493 320489 359204 394448 558986 640978 718408 1117972 1167413 1281956 1436816 2235944 2334826 2563912 3633409 4471888 4669652 5127824 7266818 9339304 14533636 18678608 24874877 29067272 49749754 58134544 99499508 198999016 323373401 397998032 646746802 1293493604 2586987208 5173974416