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1468849779216 = 243260116972289
BaseRepresentation
bin10101010111111110010…
…001001111001000010000
312012102100122222222001200
4111113332101033020100
5143031201020413331
63042440312231200
7211056316056231
oct25277621171020
95172318888050
101468849779216
11516a32453476
121b880a99b500
13a8686968ac1
145114256d088
152831c7b95e6
hex155fe44f210

1468849779216 has 60 divisors (see below), whose sum is σ = 4117579387740. Its totient is φ = 488801894400.

The previous prime is 1468849779191. The next prime is 1468849779227. The reversal of 1468849779216 is 6129779488641.

1468849779216 is a `hidden beast` number, since 1 + 4 + 68 + 8 + 497 + 79 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 486372339216 + 982477440000 = 697404^2 + 991200^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8399601 + ... + 8572688.

It is an arithmetic number, because the mean of its divisors is an integer number (68626323129).

Almost surely, 21468849779216 is an apocalyptic number.

1468849779216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1468849779216 is an abundant number, since it is smaller than the sum of its proper divisors (2648729608524).

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

1468849779216 is a wasteful number, since it uses less digits than its factorization.

1468849779216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16972904 (or 16972895 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 1468849779216 in words is "one trillion, four hundred sixty-eight billion, eight hundred forty-nine million, seven hundred seventy-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 601 1202 1803 2404 3606 4808 5409 7212 9616 10818 14424 21636 28848 43272 86544 16972289 33944578 50916867 67889156 101833734 135778312 152750601 203667468 271556624 305501202 407334936 611002404 814669872 1222004808 2444009616 10200345689 20400691378 30601037067 40801382756 61202074134 81602765512 91803111201 122404148268 163205531024 183606222402 244808296536 367212444804 489616593072 734424889608 1468849779216