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5348117852 = 22711531392357
BaseRepresentation
bin1001111101100010…
…11100110101011100
3111210201102112110222
410332301130311130
541423104232402
62242404420512
7246350152220
oct47661346534
914721375428
105348117852
1122a4967110
1210530a7738
1367300619c
1438a3dc780
152147bc7a2
hex13ec5cd5c

5348117852 has 96 divisors (see below), whose sum is σ = 11979394560. Its totient is φ = 2028798720.

The previous prime is 5348117833. The next prime is 5348117881. The reversal of 5348117852 is 2587118435.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 31 ways as a sum of consecutive naturals, for example, 2267858 + ... + 2270214.

It is an arithmetic number, because the mean of its divisors is an integer number (124785360).

Almost surely, 25348117852 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 5348117852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989697280).

5348117852 is an abundant number, since it is smaller than the sum of its proper divisors (6631276708).

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

5348117852 is a wasteful number, since it uses less digits than its factorization.

5348117852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2569 counting only the distinct ones).

The product of its digits is 268800, while the sum is 44.

The square root of 5348117852 is about 73130.8269610019. The cubic root of 5348117852 is about 1748.7738733130.

The spelling of 5348117852 in words is "five billion, three hundred forty-eight million, one hundred seventeen thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 53 77 106 139 154 212 278 308 371 556 583 742 973 1166 1484 1529 1946 2332 2357 3058 3892 4081 4714 6116 7367 8162 9428 10703 14734 16324 16499 21406 25927 29468 32998 42812 51569 51854 65996 81037 103138 103708 124921 162074 181489 206276 249842 324148 327623 362978 499684 567259 655246 725956 874447 1134518 1310492 1374131 1748894 2269036 2293361 2748262 3497788 3603853 4586722 5496524 7207706 9173444 9618917 14415412 17364019 19237834 25226971 34728038 38475668 50453942 69456076 100907884 121548133 191004209 243096266 382008418 486192532 764016836 1337029463 2674058926 5348117852