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5326100416 = 267131138093
BaseRepresentation
bin1001111010111010…
…11101011111000000
3111202011222221020101
410331131131133000
541401440203131
62240300452144
7245662051360
oct47535353700
914664887211
105326100416
11229349908a
12104784a054
1366b597710
1438750a9a0
152128bdc61
hex13d75d7c0

5326100416 has 112 divisors (see below), whose sum is σ = 13124712384. Its totient is φ = 2088124416.

The previous prime is 5326100407. The next prime is 5326100431. The reversal of 5326100416 is 6140016235.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654066 + ... + 662158.

It is an arithmetic number, because the mean of its divisors is an integer number (117184932).

Almost surely, 25326100416 is an apocalyptic number.

5326100416 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 5326100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562356192).

5326100416 is an abundant number, since it is smaller than the sum of its proper divisors (7798611968).

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

5326100416 is a wasteful number, since it uses less digits than its factorization.

5326100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8238 (or 8228 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 5326100416 is about 72980.1371333324. The cubic root of 5326100416 is about 1746.3707552501.

The spelling of 5326100416 in words is "five billion, three hundred twenty-six million, one hundred thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 113 182 208 224 226 364 416 448 452 728 791 832 904 1456 1469 1582 1808 2912 2938 3164 3616 5824 5876 6328 7232 8093 10283 11752 12656 16186 20566 23504 25312 32372 41132 47008 50624 56651 64744 82264 94016 105209 113302 129488 164528 210418 226604 258976 329056 420836 453208 517952 658112 736463 841672 906416 914509 1472926 1683344 1812832 1829018 2945852 3366688 3625664 3658036 5891704 6401563 6733376 7316072 11783408 11888617 12803126 14632144 23566816 23777234 25606252 29264288 47133632 47554468 51212504 58528576 83220319 95108936 102425008 166440638 190217872 204850016 332881276 380435744 409700032 665762552 760871488 1331525104 2663050208 5326100416