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1356916896 = 25324711517
BaseRepresentation
bin101000011100000…
…1110100010100000
310111120021112001100
41100320032202200
510234332320041
6342351234400
745424413636
oct12070164240
93446245040
101356916896
11636a42825
1231a518a00
1318817580a
14cc2d9356
157e1d46b6
hex50e0e8a0

1356916896 has 36 divisors (see below), whose sum is σ = 3858733242. Its totient is φ = 452305536.

The previous prime is 1356916871. The next prime is 1356916933. The reversal of 1356916896 is 6986196531.

1356916896 is a `hidden beast` number, since 13 + 569 + 1 + 68 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1132995600 + 223921296 = 33660^2 + 14964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2355471 + ... + 2356046.

Almost surely, 21356916896 is an apocalyptic number.

1356916896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1356916896 is an abundant number, since it is smaller than the sum of its proper divisors (2501816346).

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

1356916896 is a wasteful number, since it uses less digits than its factorization.

1356916896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711533 (or 4711522 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 1356916896 is about 36836.3529139354. The cubic root of 1356916896 is about 1107.0937952219.

The spelling of 1356916896 in words is "one billion, three hundred fifty-six million, nine hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4711517 9423034 14134551 18846068 28269102 37692136 42403653 56538204 75384272 84807306 113076408 150768544 169614612 226152816 339229224 452305632 678458448 1356916896