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21483048480 = 2535241185711
BaseRepresentation
bin10100000000011111…
…010100111000100000
32001110012010221022020
4110000133110320200
5322444130022410
613511424141440
71360240620255
oct240037247040
961405127266
1021483048480
119124691323
1241b6767880
132044a1320a
14107b25542c
1585b067a70
hex5007d4e20

21483048480 has 96 divisors (see below), whose sum is σ = 67952763648. Its totient is φ = 5705011200.

The previous prime is 21483048451. The next prime is 21483048491. The reversal of 21483048480 is 8484038412.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22825 + ... + 208535.

It is an arithmetic number, because the mean of its divisors is an integer number (707841288).

Almost surely, 221483048480 is an apocalyptic number.

21483048480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21483048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33976381824).

21483048480 is an abundant number, since it is smaller than the sum of its proper divisors (46469715168).

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

21483048480 is a wasteful number, since it uses less digits than its factorization.

21483048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185970 (or 185962 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 21483048480 in words is "twenty-one billion, four hundred eighty-three million, forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 241 480 482 723 964 1205 1446 1928 2410 2892 3615 3856 4820 5784 7230 7712 9640 11568 14460 19280 23136 28920 38560 57840 115680 185711 371422 557133 742844 928555 1114266 1485688 1857110 2228532 2785665 2971376 3714220 4457064 5571330 5942752 7428440 8914128 11142660 14856880 17828256 22285320 29713760 44570640 44756351 89141280 89512702 134269053 179025404 223781755 268538106 358050808 447563510 537076212 671345265 716101616 895127020 1074152424 1342690530 1432203232 1790254040 2148304848 2685381060 3580508080 4296609696 5370762120 7161016160 10741524240 21483048480