Search a number
-
+
38327972113914 = 23719229523401029
BaseRepresentation
bin10001011011011111011010…
…01010011010110111111010
312000201010012021110210201120
420231233231022122313322
520010431141330121124
6213303343255530110
711034050610362460
oct1055575512326772
9160633167423646
1038327972113914
11112378900607aa
124370274389936
13185040a067cb2
14967125b3c830
15466ee9ea6d79
hex22dbed29adfa

38327972113914 has 128 divisors (see below), whose sum is σ = 92797700352000. Its totient is φ = 10309409664768.

The previous prime is 38327972113909. The next prime is 38327972113919. The reversal of 38327972113914 is 41931127972383.

It is an interprime number because it is at equal distance from previous prime (38327972113909) and next prime (38327972113919).

It is not an unprimeable number, because it can be changed into a prime (38327972113919) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95373552 + ... + 95774580.

It is an arithmetic number, because the mean of its divisors is an integer number (724982034000).

Almost surely, 238327972113914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38327972113914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46398850176000).

38327972113914 is an abundant number, since it is smaller than the sum of its proper divisors (54469728238086).

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

38327972113914 is a wasteful number, since it uses less digits than its factorization.

38327972113914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401812.

The product of its digits is 13716864, while the sum is 60.

The spelling of 38327972113914 in words is "thirty-eight trillion, three hundred twenty-seven billion, nine hundred seventy-two million, one hundred thirteen thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 229 266 399 458 523 687 798 1046 1374 1569 1603 3138 3206 3661 4351 4809 7322 8702 9618 9937 10983 13053 19874 21966 26106 29811 30457 59622 60914 69559 91371 119767 139118 182742 208677 239534 359301 401029 417354 718602 802058 838369 1203087 1676738 2275573 2406174 2515107 2807203 4551146 5030214 5614406 6826719 7619551 8421609 13653438 15239102 15929011 16843218 22858653 31858022 45717306 47787033 53336857 91835641 95574066 106673714 160010571 183671282 209738167 275506923 320021142 419476334 551013846 629214501 642849487 1258429002 1285698974 1468167169 1744877179 1928548461 2936334338 3489754358 3857096922 3985025173 4404501507 5234631537 7970050346 8809003014 10469263074 11955075519 12214140253 23910151038 24428280506 27895176211 36642420759 48030040243 55790352422 73284841518 83685528633 96060080486 144090120729 167371057266 288180241458 336210281701 672420563402 912570764617 1008630845103 1825141529234 2017261690206 2737712293851 5475424587702 6387995352319 12775990704638 19163986056957 38327972113914