Search a number
-
+
5366421576 = 23321272932003
BaseRepresentation
bin1001111111101110…
…10001100001001000
3111211222212110110200
410333313101201020
541442300442301
62244301012200
7246661554645
oct47767214110
914758773420
105366421576
112304228a5a
121059254060
13676a444a9
1438ca04dcc
152161d5c86
hex13fdd1848

5366421576 has 96 divisors (see below), whose sum is σ = 14705832960. Its totient is φ = 1767782016.

The previous prime is 5366421547. The next prime is 5366421607. The reversal of 5366421576 is 6751246635.

5366421576 is a `hidden beast` number, since 5 + 36 + 6 + 42 + 1 + 576 = 666.

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 23 ways as a sum of consecutive naturals, for example, 2678191 + ... + 2680193.

It is an arithmetic number, because the mean of its divisors is an integer number (153185760).

Almost surely, 25366421576 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 5366421576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352916480).

5366421576 is an abundant number, since it is smaller than the sum of its proper divisors (9339411384).

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

5366421576 is a wasteful number, since it uses less digits than its factorization.

5366421576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2428 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 5366421576 is about 73255.8637652987. The cubic root of 5366421576 is about 1750.7666383612.

The spelling of 5366421576 in words is "five billion, three hundred sixty-six million, four hundred twenty-one thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 293 381 508 586 762 879 1016 1143 1172 1524 1758 2003 2286 2344 2637 3048 3516 4006 4572 5274 6009 7032 8012 9144 10548 12018 16024 18027 21096 24036 36054 37211 48072 72108 74422 111633 144216 148844 223266 254381 297688 334899 446532 508762 586879 669798 763143 893064 1017524 1173758 1339596 1526286 1760637 2035048 2289429 2347516 2679192 3052572 3521274 4578858 4695032 5281911 6105144 7042548 9157716 10563822 14085096 18315432 21127644 42255288 74533633 149067266 223600899 298134532 447201798 596269064 670802697 894403596 1341605394 1788807192 2683210788 5366421576