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5472812016 = 2432712742751
BaseRepresentation
bin1010001100011010…
…00111101111110000
3112010102001122201100
411012031013233300
542202014441031
62303021204400
7252423064110
oct50615075760
915112048640
105472812016
112359294741
121088a00700
13692ab4909
1439cbbb040
152206edde6
hex146347bf0

5472812016 has 120 divisors (see below), whose sum is σ = 17642553344. Its totient is φ = 1551312000.

The previous prime is 5472811997. The next prime is 5472812039. The reversal of 5472812016 is 6102182745.

5472812016 is a `hidden beast` number, since 547 + 2 + 81 + 20 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 106641 + ... + 149391.

Almost surely, 25472812016 is an apocalyptic number.

5472812016 is a gapful number since it is divisible by the number (56) 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 5472812016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8821276672).

5472812016 is an abundant number, since it is smaller than the sum of its proper divisors (12169741328).

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

5472812016 is a wasteful number, since it uses less digits than its factorization.

5472812016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42899 (or 42890 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5472812016 is about 73978.4564315855. The cubic root of 5472812016 is about 1762.2607844345.

The spelling of 5472812016 in words is "five billion, four hundred seventy-two million, eight hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 127 144 168 252 254 336 381 504 508 762 889 1008 1016 1143 1524 1778 2032 2286 2667 3048 3556 4572 5334 6096 7112 8001 9144 10668 14224 16002 18288 21336 32004 42672 42751 64008 85502 128016 128253 171004 256506 299257 342008 384759 513012 598514 684016 769518 897771 1026024 1197028 1539036 1795542 2052048 2394056 2693313 3078072 3591084 4788112 5386626 5429377 6156144 7182168 10773252 10858754 14364336 16288131 21546504 21717508 32576262 38005639 43093008 43435016 48864393 65152524 76011278 86870032 97728786 114016917 130305048 152022556 195457572 228033834 260610096 304045112 342050751 390915144 456067668 608090224 684101502 781830288 912135336 1368203004 1824270672 2736406008 5472812016