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5469075744 = 253114322801
BaseRepresentation
bin1010001011111101…
…10111100100100000
3112010011000211111220
411011332313210200
542200040410434
62302405135040
7252346243146
oct50576674440
915104024456
105469075744
112357172610
1210876ba480
136920a70c2
1439c4c7596
15220211d49
hex145fb7920

5469075744 has 144 divisors (see below), whose sum is σ = 16039858464. Its totient is φ = 1618176000.

The previous prime is 5469075739. The next prime is 5469075749. The reversal of 5469075744 is 4475709645.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5469075739) and next prime (5469075749).

It is not an unprimeable number, because it can be changed into a prime (5469075749) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1951144 + ... + 1953944.

It is an arithmetic number, because the mean of its divisors is an integer number (111387906).

Almost surely, 25469075744 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 5469075744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019929232).

5469075744 is an abundant number, since it is smaller than the sum of its proper divisors (10570782720).

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

5469075744 is a wasteful number, since it uses less digits than its factorization.

5469075744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The square root of 5469075744 is about 73953.1996873698. The cubic root of 5469075744 is about 1761.8596631259.

The spelling of 5469075744 in words is "five billion, four hundred sixty-nine million, seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 66 86 88 96 129 132 172 176 258 264 344 352 473 516 528 688 946 1032 1056 1376 1419 1849 1892 2064 2801 2838 3698 3784 4128 5547 5602 5676 7396 7568 8403 11094 11204 11352 14792 15136 16806 20339 22188 22408 22704 29584 30811 33612 40678 44376 44816 45408 59168 61017 61622 67224 81356 88752 89632 92433 120443 122034 123244 134448 162712 177504 184866 240886 244068 246488 268896 325424 361329 369732 481772 488136 492976 650848 722658 739464 963544 976272 985952 1324873 1445316 1478928 1927088 1952544 2649746 2890632 2957856 3854176 3974619 5179049 5299492 5781264 7949238 10358098 10598984 11562528 15537147 15898476 20716196 21197968 31074294 31796952 41432392 42395936 56969539 62148588 63593904 82864784 113939078 124297176 127187808 165729568 170908617 227878156 248594352 341817234 455756312 497188704 683634468 911512624 1367268936 1823025248 2734537872 5469075744