Search a number
-
+
5124445056 = 27326172923
BaseRepresentation
bin1001100010111000…
…01101001110000000
3111020010112210002100
410301130031032000
540443324220211
62204254350400
7240663031023
oct46134151600
914203483070
105124445056
11219a685465
12bb01bb400
13638880b13
143688171ba
151eed39156
hex13170d380

5124445056 has 96 divisors (see below), whose sum is σ = 14988069720. Its totient is φ = 1680122880.

The previous prime is 5124445043. The next prime is 5124445061. The reversal of 5124445056 is 6505444215.

5124445056 is a `hidden beast` number, since 512 + 4 + 44 + 50 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5124445056.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 33811 + ... + 106733.

Almost surely, 25124445056 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 5124445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7494034860).

5124445056 is an abundant number, since it is smaller than the sum of its proper divisors (9863624664).

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

5124445056 is a wasteful number, since it uses less digits than its factorization.

5124445056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73004 (or 72989 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5124445056 is about 71585.2293144333. The cubic root of 5124445056 is about 1724.0463881087.

The spelling of 5124445056 in words is "five billion, one hundred twenty-four million, four hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1952 2196 2928 3904 4392 5856 7808 8784 11712 17568 23424 35136 70272 72923 145846 218769 291692 437538 583384 656307 875076 1166768 1312614 1750152 2333536 2625228 3500304 4448303 4667072 5250456 7000608 8896606 9334144 10500912 13344909 14001216 17793212 21001824 26689818 28002432 35586424 40034727 42003648 53379636 71172848 80069454 84007296 106759272 142345696 160138908 213518544 284691392 320277816 427037088 569382784 640555632 854074176 1281111264 1708148352 2562222528 5124445056