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5542336080 = 2432510970621
BaseRepresentation
bin1010010100101100…
…10101011001010000
3112022020212211210200
411022112111121100
542322314223310
62313543255200
7254226036141
oct51226253120
915266784720
105542336080
112394560146
1210a814a500
136a4317908
143a8117ac8
152268839c0
hex14a595650

5542336080 has 120 divisors (see below), whose sum is σ = 18784039560. Its totient is φ = 1464376320.

The previous prime is 5542336069. The next prime is 5542336097. The reversal of 5542336080 is 806332455.

It is a happy number.

5542336080 is a `hidden beast` number, since 5 + 5 + 42 + 3 + 3 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1904798736 + 3637537344 = 43644^2 + 60312^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43170 + ... + 113790.

It is an arithmetic number, because the mean of its divisors is an integer number (156533663).

Almost surely, 25542336080 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 5542336080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9392019780).

5542336080 is an abundant number, since it is smaller than the sum of its proper divisors (13241703480).

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

5542336080 is a wasteful number, since it uses less digits than its factorization.

5542336080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70749 (or 70740 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5542336080 is about 74446.8674962218. The cubic root of 5542336080 is about 1769.6917207047.

The spelling of 5542336080 in words is "five billion, five hundred forty-two million, three hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 109 120 144 180 218 240 327 360 436 545 654 720 872 981 1090 1308 1635 1744 1962 2180 2616 3270 3924 4360 4905 5232 6540 7848 8720 9810 13080 15696 19620 26160 39240 70621 78480 141242 211863 282484 353105 423726 564968 635589 706210 847452 1059315 1129936 1271178 1412420 1694904 2118630 2542356 2824840 3177945 3389808 4237260 5084712 5649680 6355890 7697689 8474520 10169424 12711780 15395378 16949040 23093067 25423560 30790756 38488445 46186134 50847120 61581512 69279201 76976890 92372268 115465335 123163024 138558402 153953780 184744536 230930670 277116804 307907560 346396005 369489072 461861340 554233608 615815120 692792010 923722680 1108467216 1385584020 1847445360 2771168040 5542336080