Search a number
-
+
1358448494976 = 27321179208763
BaseRepresentation
bin10011110001001001110…
…101110000100110000000
311210212101121111122012100
4103301021311300212000
5134224100303314401
62520021305430400
7200100422454666
oct23611165604600
94725347448170
101358448494976
114841298405a1
1219b33979b400
139b14129ac01
1449a6bd6cc36
152550a357b86
hex13c49d70980

1358448494976 has 48 divisors (see below), whose sum is σ = 3909077052660. Its totient is φ = 452816164608.

The previous prime is 1358448494969. The next prime is 1358448495023. The reversal of 1358448494976 is 6794948448531.

1358448494976 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 4 + 48 + 494 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 5 ways as a sum of consecutive naturals, for example, 589603230 + ... + 589605533.

Almost surely, 21358448494976 is an apocalyptic number.

1358448494976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1358448494976 is an abundant number, since it is smaller than the sum of its proper divisors (2550628557684).

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

1358448494976 is a wasteful number, since it uses less digits than its factorization.

1358448494976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179208783 (or 1179208768 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 1358448494976 in words is "one trillion, three hundred fifty-eight billion, four hundred forty-eight million, four hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1179208763 2358417526 3537626289 4716835052 7075252578 9433670104 10612878867 14150505156 18867340208 21225757734 28301010312 37734680416 42451515468 56602020624 75469360832 84903030936 113204041248 150938721664 169806061872 226408082496 339612123744 452816164992 679224247488 1358448494976