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5468187744 = 253337916699
BaseRepresentation
bin1010001011110110…
…11110110001100000
3112010002100201102000
411011323132301200
542144324001434
62302334124000
7252335554215
oct50573366140
915102321360
105468187744
112356716428
121087350600
13691b55b66
1439c335b0c
152200d8b99
hex145edec60

5468187744 has 96 divisors (see below), whose sum is σ = 15991920000. Its totient is φ = 1817811072.

The previous prime is 5468187733. The next prime is 5468187757. The reversal of 5468187744 is 4477818645.

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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319107 + ... + 335805.

It is an arithmetic number, because the mean of its divisors is an integer number (166582500).

Almost surely, 25468187744 is an apocalyptic number.

5468187744 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 5468187744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995960000).

5468187744 is an abundant number, since it is smaller than the sum of its proper divisors (10523732256).

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

5468187744 is a wasteful number, since it uses less digits than its factorization.

5468187744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17097 (or 17083 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The square root of 5468187744 is about 73947.1956466234. The cubic root of 5468187744 is about 1761.7643017317.

The spelling of 5468187744 in words is "five billion, four hundred sixty-eight million, one hundred eighty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 379 432 758 864 1137 1516 2274 3032 3411 4548 6064 6822 9096 10233 12128 13644 16699 18192 20466 27288 33398 36384 40932 50097 54576 66796 81864 100194 109152 133592 150291 163728 200388 267184 300582 327456 400776 450873 534368 601164 801552 901746 1202328 1603104 1803492 2404656 3606984 4809312 6328921 7213968 12657842 14427936 18986763 25315684 37973526 50631368 56960289 75947052 101262736 113920578 151894104 170880867 202525472 227841156 303788208 341761734 455682312 607576416 683523468 911364624 1367046936 1822729248 2734093872 5468187744