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19038001248 = 253279443453
BaseRepresentation
bin10001101110110000…
…001101100001100000
31211010210100200001100
4101232300031201200
5302442212014443
612425042234400
71242531224550
oct215660154140
954123320040
1019038001248
11808a501132
123833955a00
131a452b45c6
14cc862b160
157665943d3
hex46ec0d860

19038001248 has 72 divisors (see below), whose sum is σ = 61873510608. Its totient is φ = 5439428352.

The previous prime is 19038001223. The next prime is 19038001249. The reversal of 19038001248 is 84210083091.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19038001249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4719711 + ... + 4723742.

It is an arithmetic number, because the mean of its divisors is an integer number (859354314).

Almost surely, 219038001248 is an apocalyptic number.

19038001248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19038001248 is an abundant number, since it is smaller than the sum of its proper divisors (42835509360).

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

19038001248 is a wasteful number, since it uses less digits than its factorization.

19038001248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9443476 (or 9443465 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 19038001248 in words is "nineteen billion, thirty-eight million, one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 9443453 18886906 28330359 37773812 56660718 66104171 75547624 84991077 113321436 132208342 151095248 169982154 198312513 226642872 264416684 302190496 339964308 396625026 453285744 528833368 594937539 679928616 793250052 906571488 1057666736 1189875078 1359857232 1586500104 2115333472 2379750156 2719714464 3173000208 4759500312 6346000416 9519000624 19038001248