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5583129420 = 22351110382129
BaseRepresentation
bin1010011001100011…
…11100101101001100
3112102002122100202010
411030301330231030
542413240120140
62322001501220
7255232550151
oct51461745514
915362570663
105583129420
112405592850
1210b9941810
136ac8cb59b
143ad6d6228
1522a240880
hex14cc7cb4c

5583129420 has 96 divisors (see below), whose sum is σ = 17219704320. Its totient is φ = 1340328960.

The previous prime is 5583129413. The next prime is 5583129469. The reversal of 5583129420 is 249213855.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26916 + ... + 109044.

It is an arithmetic number, because the mean of its divisors is an integer number (179371920).

Almost surely, 25583129420 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 5583129420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609852160).

5583129420 is an abundant number, since it is smaller than the sum of its proper divisors (11636574900).

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

5583129420 is a wasteful number, since it uses less digits than its factorization.

5583129420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82255 (or 82253 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 5583129420 is about 74720.3414071429. The cubic root of 5583129420 is about 1774.0229412105.

The spelling of 5583129420 in words is "five billion, five hundred eighty-three million, one hundred twenty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 103 110 132 165 206 220 309 330 412 515 618 660 1030 1133 1236 1545 2060 2266 3090 3399 4532 5665 6180 6798 11330 13596 16995 22660 33990 67980 82129 164258 246387 328516 410645 492774 821290 903419 985548 1231935 1642580 1806838 2463870 2710257 3613676 4517095 4927740 5420514 8459287 9034190 10841028 13551285 16918574 18068380 25377861 27102570 33837148 42296435 50755722 54205140 84592870 93052157 101511444 126889305 169185740 186104314 253778610 279156471 372208628 465260785 507557220 558312942 930521570 1116625884 1395782355 1861043140 2791564710 5583129420