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38145209755648 = 21118625590701
BaseRepresentation
bin10001010110001010111111…
…01011010110100000000000
312000001122110020212001022111
420223011133223112200000
514444432342144140043
6213043400100145104
711014620600100642
oct1053053753264000
9160048406761274
1038145209755648
1111177324510a06
124340969698194
131839102045838
1495c34911a892
1546239eeec09d
hex22b15fad6800

38145209755648 has 24 divisors (see below), whose sum is σ = 76271793924690. Its totient is φ = 19072604876800.

The previous prime is 38145209755613. The next prime is 38145209755657. The reversal of 38145209755648 is 84655790254183.

It can be written as a sum of positive squares in only one way, i.e., 34492035032064 + 3653174723584 = 5872992^2 + 1911328^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9312793303 + ... + 9312797398.

It is a 1-persistent number, because it is pandigital, but 2⋅38145209755648 = 76290419511296 is not.

Almost surely, 238145209755648 is an apocalyptic number.

It is an amenable number.

38145209755648 is a deficient number, since it is larger than the sum of its proper divisors (38126584169042).

38145209755648 is an equidigital number, since it uses as much as digits as its factorization.

38145209755648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18625590723 (or 18625590703 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 67.

The spelling of 38145209755648 in words is "thirty-eight trillion, one hundred forty-five billion, two hundred nine million, seven hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 18625590701 37251181402 74502362804 149004725608 298009451216 596018902432 1192037804864 2384075609728 4768151219456 9536302438912 19072604877824 38145209755648