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238131255936 = 2737367241391
BaseRepresentation
bin1101110111000110111…
…0101001101010000000
3211202122202222012001210
43131301232221222000
512400143100142221
6301221311130120
723130054164250
oct3356156515200
9752582865053
10238131255936
1191a99982162
123a199813940
13195c0192702
14b7503dd960
1562dad74276
hex3771ba9a80

238131255936 has 128 divisors (see below), whose sum is σ = 724871208960. Its totient is φ = 67851832320.

The previous prime is 238131255919. The next prime is 238131255937. The reversal of 238131255936 is 639552131832.

238131255936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (238131255937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865801 + ... + 1107191.

It is an arithmetic number, because the mean of its divisors is an integer number (5663056320).

Almost surely, 2238131255936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238131255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362435604480).

238131255936 is an abundant number, since it is smaller than the sum of its proper divisors (486739953024).

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

238131255936 is a wasteful number, since it uses less digits than its factorization.

238131255936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241782 (or 241770 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The spelling of 238131255936 in words is "two hundred thirty-eight billion, one hundred thirty-one million, two hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 367 384 448 672 734 896 1101 1344 1468 2202 2569 2688 2936 4404 5138 5872 7707 8808 10276 11744 15414 17616 20552 23488 30828 35232 41104 46976 61656 70464 82208 123312 140928 164416 241391 246624 328832 482782 493248 724173 965564 986496 1448346 1689737 1931128 2896692 3379474 3862256 5069211 5793384 6758948 7724512 10138422 11586768 13517896 15449024 20276844 23173536 27035792 30898048 40553688 46347072 54071584 81107376 88590497 92694144 108143168 162214752 177180994 216286336 265771491 324429504 354361988 531542982 620133479 648859008 708723976 1063085964 1240266958 1417447952 1860400437 2126171928 2480533916 2834895904 3720800874 4252343856 4961067832 5669791808 7441601748 8504687712 9922135664 11339583616 14883203496 17009375424 19844271328 29766406992 34018750848 39688542656 59532813984 79377085312 119065627968 238131255936