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5219834724 = 22341337333
BaseRepresentation
bin1001101110010000…
…00101101101100100
3111110210001002010000
410313020011231210
541142234202344
62221543101300
7243231602016
oct46710055544
914423032100
105219834724
1122395080a5
121018141830
1365256c000
143773681b6
152083cca69
hex137205b64

5219834724 has 120 divisors (see below), whose sum is σ = 14784317240. Its totient is φ = 1605883968.

The previous prime is 5219834723. The next prime is 5219834749. The reversal of 5219834724 is 4274389125.

5219834724 is a `hidden beast` number, since 521 + 9 + 83 + 47 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3390732900 + 1829101824 = 58230^2 + 42768^2 .

It is a super-3 number, since 3×52198347243 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5219834724.

It is not an unprimeable number, because it can be changed into a prime (5219834723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 708162 + ... + 715494.

Almost surely, 25219834724 is an apocalyptic number.

5219834724 is a gapful number since it is divisible by the number (54) 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 5219834724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392158620).

5219834724 is an abundant number, since it is smaller than the sum of its proper divisors (9564482516).

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

5219834724 is a wasteful number, since it uses less digits than its factorization.

5219834724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388 (or 7351 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 5219834724 is about 72248.4236783060. The cubic root of 5219834724 is about 1734.6781868448.

The spelling of 5219834724 in words is "five billion, two hundred nineteen million, eight hundred thirty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 2028 2106 2197 3042 4212 4394 4563 6084 6591 7333 8788 9126 13182 13689 14666 18252 19773 21999 26364 27378 29332 39546 43998 54756 59319 65997 79092 87996 95329 118638 131994 177957 190658 197991 237276 263988 285987 355914 381316 395982 571974 593973 711828 791964 857961 1143948 1187946 1239277 1715922 2375892 2478554 2573883 3431844 3717831 4957108 5147766 7435662 7721649 10295532 11153493 14871324 15443298 16110601 22306986 30886596 32221202 33460479 44613972 48331803 64442404 66920958 96663606 100381437 133841916 144995409 193327212 200762874 289990818 401525748 434986227 579981636 869972454 1304958681 1739944908 2609917362 5219834724