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5621116560 = 243519264879
BaseRepresentation
bin1010011110000101…
…10110111010010000
3112111202010022022020
411033002312322100
543003001212220
62325440011440
7256203462633
oct51702667220
915452108266
105621116560
112424a79084
12110a600b80
136b773bb97
143b4783c1a
1522d746040
hex14f0b6e90

5621116560 has 120 divisors (see below), whose sum is σ = 18391144320. Its totient is φ = 1420049664.

The previous prime is 5621116549. The next prime is 5621116561. The reversal of 5621116560 is 656111265.

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

It is a super-2 number, since 2×56211165602 = 63193902762212467200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5621116561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54201 + ... + 119079.

It is an arithmetic number, because the mean of its divisors is an integer number (153259536).

Almost surely, 25621116560 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 5621116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9195572160).

5621116560 is an abundant number, since it is smaller than the sum of its proper divisors (12770027760).

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

5621116560 is a wasteful number, since it uses less digits than its factorization.

5621116560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64933 (or 64908 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5621116560 is about 74974.1059299809. The cubic root of 5621116560 is about 1778.0372844900.

It can be divided in two parts, 56211 and 16560, that added together give a triangular number (72771 = T381).

The spelling of 5621116560 in words is "five billion, six hundred twenty-one million, one hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 361 380 456 570 722 760 912 1083 1140 1444 1520 1805 2166 2280 2888 3610 4332 4560 5415 5776 7220 8664 10830 14440 17328 21660 28880 43320 64879 86640 129758 194637 259516 324395 389274 519032 648790 778548 973185 1038064 1232701 1297580 1557096 1946370 2465402 2595160 3114192 3698103 3892740 4930804 5190320 6163505 7396206 7785480 9861608 12327010 14792412 15570960 18490515 19723216 23421319 24654020 29584824 36981030 46842638 49308040 59169648 70263957 73962060 93685276 98616080 117106595 140527914 147924120 187370552 234213190 281055828 295848240 351319785 374741104 468426380 562111656 702639570 936852760 1124223312 1405279140 1873705520 2810558280 5621116560