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5541656064 = 29372322409
BaseRepresentation
bin1010010100100111…
…01111011000000000
3112022012121021222220
411022103233120000
542322130443224
62313520531040
7254220204450
oct51223573000
915265537886
105541656064
11239413624a
1210a7a80a80
136a413a239
143a7dbbd60
1522679c279
hex14a4ef600

5541656064 has 160 divisors (see below), whose sum is σ = 17606730240. Its totient is φ = 1514422272.

The previous prime is 5541656051. The next prime is 5541656083. The reversal of 5541656064 is 4606561455.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236092 + ... + 258500.

It is an arithmetic number, because the mean of its divisors is an integer number (110042064).

Almost surely, 25541656064 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 5541656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8803365120).

5541656064 is an abundant number, since it is smaller than the sum of its proper divisors (12065074176).

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

5541656064 is a wasteful number, since it uses less digits than its factorization.

5541656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22460 (or 22444 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 5541656064 is about 74442.3002331336. The cubic root of 5541656064 is about 1769.6193404010.

The spelling of 5541656064 in words is "five billion, five hundred forty-one million, six hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 512 552 644 672 736 768 896 966 1104 1288 1344 1472 1536 1792 1932 2208 2576 2688 2944 3584 3864 4416 5152 5376 5888 7728 8832 10304 10752 11776 15456 17664 20608 22409 30912 35328 41216 44818 61824 67227 82432 89636 123648 134454 156863 179272 247296 268908 313726 358544 470589 515407 537816 627452 717088 941178 1030814 1075632 1254904 1434176 1546221 1882356 2061628 2151264 2509808 2868352 3092442 3607849 3764712 4123256 4302528 5019616 5736704 6184884 7215698 7529424 8246512 8605056 10039232 10823547 11473408 12369768 14431396 15058848 16493024 17210112 20078464 21647094 24739536 28862792 30117696 32986048 34420224 40156928 43294188 49479072 57725584 60235392 65972096 80313856 86588376 98958144 115451168 120470784 131944192 173176752 197916288 230902336 240941568 263888384 346353504 395832576 461804672 692707008 791665152 923609344 1385414016 1847218688 2770828032 5541656064