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5541693960 = 23351115127803
BaseRepresentation
bin1010010100100111…
…11000101000001000
3112022012200012222110
411022103320220020
542322133201320
62313521422320
7254220423105
oct51223705010
915265605873
105541693960
112394161770
1210a7a9a9a0
136a415156a
143a7dcbaac
152267a85e0
hex14a4f8a08

5541693960 has 128 divisors (see below), whose sum is σ = 18257218560. Its totient is φ = 1334496000.

The previous prime is 5541693953. The next prime is 5541693967. The reversal of 5541693960 is 693961455.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5541693953) and next prime (5541693967).

It is not an unprimeable number, because it can be changed into a prime (5541693967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185419 + ... + 213221.

It is an arithmetic number, because the mean of its divisors is an integer number (142634520).

Almost surely, 25541693960 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 5541693960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9128609280).

5541693960 is an abundant number, since it is smaller than the sum of its proper divisors (12715524600).

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

5541693960 is a wasteful number, since it uses less digits than its factorization.

5541693960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27979 (or 27975 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The square root of 5541693960 is about 74442.5547654028. The cubic root of 5541693960 is about 1769.6233741736.

The spelling of 5541693960 in words is "five billion, five hundred forty-one million, six hundred ninety-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 151 165 220 264 302 330 440 453 604 660 755 906 1208 1320 1510 1661 1812 2265 3020 3322 3624 4530 4983 6040 6644 8305 9060 9966 13288 16610 18120 19932 24915 27803 33220 39864 49830 55606 66440 83409 99660 111212 139015 166818 199320 222424 278030 305833 333636 417045 556060 611666 667272 834090 917499 1112120 1223332 1529165 1668180 1834998 2446664 3058330 3336360 3669996 4198253 4587495 6116660 7339992 8396506 9174990 12233320 12594759 16793012 18349980 20991265 25189518 33586024 36699960 41982530 46180783 50379036 62973795 83965060 92361566 100758072 125947590 138542349 167930120 184723132 230903915 251895180 277084698 369446264 461807830 503790360 554169396 692711745 923615660 1108338792 1385423490 1847231320 2770846980 5541693960