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5364748080 = 2432516744617
BaseRepresentation
bin1001111111100001…
…11000111100110000
3111211212201102212100
410333300320330300
541441333414310
62244201100400
7246641414646
oct47760707460
914755642770
105364748080
1123032956aa
121058787700
136765a9863
1438c6cb196
15215ea4ec0
hex13fc38f30

5364748080 has 120 divisors (see below), whose sum is σ = 18124902432. Its totient is φ = 1422001152.

The previous prime is 5364748073. The next prime is 5364748087. The reversal of 5364748080 is 808474635.

5364748080 is a `hidden beast` number, since 53 + 6 + 47 + 480 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5364748073) and next prime (5364748087).

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5364748087) 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, 97932 + ... + 142548.

Almost surely, 25364748080 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 5364748080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9062451216).

5364748080 is an abundant number, since it is smaller than the sum of its proper divisors (12760154352).

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

5364748080 is a wasteful number, since it uses less digits than its factorization.

5364748080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44803 (or 44794 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5364748080 is about 73244.4406081445. The cubic root of 5364748080 is about 1750.5846297026.

The spelling of 5364748080 in words is "five billion, three hundred sixty-four million, seven hundred forty-eight 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 90 120 144 167 180 240 334 360 501 668 720 835 1002 1336 1503 1670 2004 2505 2672 3006 3340 4008 5010 6012 6680 7515 8016 10020 12024 13360 15030 20040 24048 30060 40080 44617 60120 89234 120240 133851 178468 223085 267702 356936 401553 446170 535404 669255 713872 803106 892340 1070808 1338510 1606212 1784680 2007765 2141616 2677020 3212424 3569360 4015530 5354040 6424848 7451039 8031060 10708080 14902078 16062120 22353117 29804156 32124240 37255195 44706234 59608312 67059351 74510390 89412468 111765585 119216624 134118702 149020780 178824936 223531170 268237404 298041560 335296755 357649872 447062340 536474808 596083120 670593510 894124680 1072949616 1341187020 1788249360 2682374040 5364748080