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7146390816 = 253231800447
BaseRepresentation
bin1101010011111010…
…10100010100100000
3200110001012021020100
412221331110110200
5104113434001231
63141043542400
7342044214435
oct65175242440
920401167210
107146390816
113037a51214
12147538aa00
1389b740126
144bb185b8c
152bc5d41e6
hex1a9f54520

7146390816 has 72 divisors (see below), whose sum is σ = 20978141184. Its totient is φ = 2305284480.

The previous prime is 7146390799. The next prime is 7146390817. The reversal of 7146390816 is 6180936417.

It is a happy number.

7146390816 is a `hidden beast` number, since 7 + 1 + 4 + 639 + 0 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (7146390817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391296 + ... + 409151.

It is an arithmetic number, because the mean of its divisors is an integer number (291363072).

Almost surely, 27146390816 is an apocalyptic number.

It is an amenable number.

7146390816 is an abundant number, since it is smaller than the sum of its proper divisors (13831750368).

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

7146390816 is a wasteful number, since it uses less digits than its factorization.

7146390816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800494 (or 800483 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7146390816 is about 84536.3283801704. The cubic root of 7146390816 is about 1926.1743161230.

The spelling of 7146390816 in words is "seven billion, one hundred forty-six million, three hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 800447 1600894 2401341 3201788 4802682 6403576 7204023 9605364 12807152 14408046 19210728 24813857 25614304 28816092 38421456 49627714 57632184 74441571 76842912 99255428 115264368 148883142 198510856 223324713 230528736 297766284 397021712 446649426 595532568 794043424 893298852 1191065136 1786597704 2382130272 3573195408 7146390816