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11345354000 = 24535672677
BaseRepresentation
bin10101001000011110…
…00101110100010000
31002021200021200212022
422210033011310100
5141213402312000
65113442151012
7551101626551
oct124417056420
932250250768
1011345354000
1148a217a422
122247652468
1310ba644c26
14798acc328
1546605b585
hex2a43c5d10

11345354000 has 40 divisors (see below), whose sum is σ = 27433070808. Its totient is φ = 4538140800.

The previous prime is 11345353939. The next prime is 11345354029. The reversal of 11345354000 is 45354311.

It can be written as a sum of positive squares in 4 ways, for example, as 66064384 + 11279289616 = 8128^2 + 106204^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2834339 + ... + 2838338.

Almost surely, 211345354000 is an apocalyptic number.

11345354000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11345354000 is an abundant number, since it is smaller than the sum of its proper divisors (16087716808).

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

11345354000 is an equidigital number, since it uses as much as digits as its factorization.

11345354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672700 (or 5672684 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 11345354000 in words is "eleven billion, three hundred forty-five million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5672677 11345354 22690708 28363385 45381416 56726770 90762832 113453540 141816925 226907080 283633850 453814160 567267700 709084625 1134535400 1418169250 2269070800 2836338500 5672677000 11345354000