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1388117712 = 2432329191227
BaseRepresentation
bin101001010111100…
…1111111011010000
310120201222200112010
41102233033323100
510320324231322
6345424102520
746253543262
oct12257177320
93521880463
101388117712
11652613423
12328a64a40
1319177b237
14d24dbb32
1581ce920c
hex52bcfed0

1388117712 has 160 divisors (see below), whose sum is σ = 3908321280. Its totient is φ = 423216640.

The previous prime is 1388117707. The next prime is 1388117719. The reversal of 1388117712 is 2177118831.

It is a super-2 number, since 2×13881177122 = 3853741564736229888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388117719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6114943 + ... + 6115169.

It is an arithmetic number, because the mean of its divisors is an integer number (24427008).

Almost surely, 21388117712 is an apocalyptic number.

1388117712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1388117712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954160640).

1388117712 is an abundant number, since it is smaller than the sum of its proper divisors (2520203568).

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

1388117712 is a wasteful number, since it uses less digits than its factorization.

1388117712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its digits is 18816, while the sum is 39.

The square root of 1388117712 is about 37257.4517647141. The cubic root of 1388117712 is about 1115.5150447510.

The spelling of 1388117712 in words is "one billion, three hundred eighty-eight million, one hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 174 184 191 227 232 276 348 368 382 454 464 552 573 667 681 696 764 908 1104 1146 1334 1362 1392 1528 1816 2001 2292 2668 2724 3056 3632 4002 4393 4584 5221 5336 5448 5539 6583 8004 8786 9168 10442 10672 10896 11078 13166 13179 15663 16008 16617 17572 19749 20884 22156 26332 26358 31326 32016 33234 35144 39498 41768 43357 44312 52664 52716 62652 66468 70288 78996 83536 86714 88624 105328 105432 125304 127397 130071 132936 151409 157992 173428 210864 250608 254794 260142 265872 302818 315984 346856 382191 454227 509588 520284 605636 693712 764382 908454 997211 1019176 1040568 1211272 1257353 1528764 1816908 1994422 2038352 2081136 2422544 2514706 2991633 3057528 3633816 3772059 3988844 5029412 5983266 6115056 7267632 7544118 7977688 10058824 11966532 15088236 15955376 20117648 23933064 28919119 30176472 47866128 57838238 60352944 86757357 115676476 173514714 231352952 347029428 462705904 694058856 1388117712