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5340353664 = 27323958189
BaseRepresentation
bin1001111100100111…
…10101010010000000
3111210011211002000110
410332103311102000
541414112304124
62241530151320
7246224154132
oct47623652200
914704732013
105340353664
1122a0543828
121050582540
136715181a9
1438937b052
15213c87029
hex13e4f5480

5340353664 has 64 divisors (see below), whose sum is σ = 14244912000. Its totient is φ = 1772639232.

The previous prime is 5340353639. The next prime is 5340353719. The reversal of 5340353664 is 4663530435.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62682 + ... + 120870.

It is an arithmetic number, because the mean of its divisors is an integer number (222576750).

Almost surely, 25340353664 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 5340353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7122456000).

5340353664 is an abundant number, since it is smaller than the sum of its proper divisors (8904558336).

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

5340353664 is a wasteful number, since it uses less digits than its factorization.

5340353664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58445 (or 58433 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 39.

The square root of 5340353664 is about 73077.7234456575. The cubic root of 5340353664 is about 1747.9271963213.

The spelling of 5340353664 in words is "five billion, three hundred forty million, three hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 384 478 717 956 1434 1912 2868 3824 5736 7648 11472 15296 22944 30592 45888 58189 91776 116378 174567 232756 349134 465512 698268 931024 1396536 1862048 2793072 3724096 5586144 7448192 11172288 13907171 22344576 27814342 41721513 55628684 83443026 111257368 166886052 222514736 333772104 445029472 667544208 890058944 1335088416 1780117888 2670176832 5340353664