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5465773344 = 253433373929
BaseRepresentation
bin1010001011100100…
…10001010100100000
3112002220211001110210
411011302101110200
542143214221334
62302210254120
7252306210153
oct50562212440
915086731423
105465773344
112355317459
121086587340
136914bbc15
1439bca7c9a
1521ecad5e9
hex145c91520

5465773344 has 96 divisors (see below), whose sum is σ = 14728633920. Its totient is φ = 1773821952.

The previous prime is 5465773297. The next prime is 5465773349. The reversal of 5465773344 is 4433775645.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5465773293 and 5465773302.

It is not an unprimeable number, because it can be changed into a prime (5465773349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1389172 + ... + 1393100.

It is an arithmetic number, because the mean of its divisors is an integer number (153423270).

Almost surely, 25465773344 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 5465773344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7364316960).

5465773344 is an abundant number, since it is smaller than the sum of its proper divisors (9262860576).

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

5465773344 is a wasteful number, since it uses less digits than its factorization.

5465773344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4314 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 48.

The square root of 5465773344 is about 73930.8686814919. The cubic root of 5465773344 is about 1761.5049696262.

The spelling of 5465773344 in words is "five billion, four hundred sixty-five million, seven hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 337 344 516 674 688 1011 1032 1348 1376 2022 2064 2696 3929 4044 4128 5392 7858 8088 10784 11787 14491 15716 16176 23574 28982 31432 32352 43473 47148 57964 62864 86946 94296 115928 125728 168947 173892 188592 231856 337894 347784 377184 463712 506841 675788 695568 1013682 1324073 1351576 1391136 2027364 2648146 2703152 3972219 4054728 5296292 5406304 7944438 8109456 10592584 15888876 16218912 21185168 31777752 42370336 56935139 63555504 113870278 127111008 170805417 227740556 341610834 455481112 683221668 910962224 1366443336 1821924448 2732886672 5465773344