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1463416404264 = 23321049162111953
BaseRepresentation
bin10101010010111010011…
…010100011100100101000
312011220100000010220211100
4111102322122203210220
5142434034044414024
63040141220201400
7210504552124023
oct25227232434450
95156300126740
101463416404264
115146a4455451
121b7753239260
13a7ccc0b1739
1450b88ada1ba
15281007aa7c9
hex154ba6a3928

1463416404264 has 96 divisors (see below), whose sum is σ = 3969977193000. Its totient is φ = 486999060480.

The previous prime is 1463416404227. The next prime is 1463416404341. The reversal of 1463416404264 is 4624046143641.

It is a happy number.

1463416404264 is a `hidden beast` number, since 1 + 4 + 6 + 341 + 6 + 40 + 4 + 264 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1391668496100 + 71747908164 = 1179690^2 + 267858^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122424912 + ... + 122436864.

Almost surely, 21463416404264 is an apocalyptic number.

It is an amenable number.

1463416404264 is an abundant number, since it is smaller than the sum of its proper divisors (2506560788736).

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

1463416404264 is a wasteful number, since it uses less digits than its factorization.

1463416404264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14635 (or 14628 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 1463416404264 in words is "one trillion, four hundred sixty-three billion, four hundred sixteen million, four hundred four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1049 1621 2098 3147 3242 4196 4863 6294 6484 8392 9441 9726 11953 12588 12968 14589 18882 19452 23906 25176 29178 35859 37764 38904 47812 58356 71718 75528 95624 107577 116712 143436 215154 286872 430308 860616 1700429 3400858 5101287 6801716 10202574 12538697 13603432 15303861 19375813 20405148 25077394 30607722 37616091 38751626 40810296 50154788 58127439 61215444 75232182 77503252 100309576 112848273 116254878 122430888 150464364 155006504 174382317 225696546 232509756 300928728 348764634 451393092 465019512 697529268 902786184 1395058536 20325227837 40650455674 60975683511 81300911348 121951367022 162601822696 182927050533 243902734044 365854101066 487805468088 731708202132 1463416404264