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38682515143216 = 24717311148357073
BaseRepresentation
bin10001100101110011110011…
…00100101111101000110000
312001222000022222201210201001
420302321321210233220300
520032233242334040331
6214134300243251344
711101501533404230
oct1062717144575060
9161860288653631
1038682515143216
111136418739021a
124408b20079b54
13187798cbc7729
1497a35aabbcc0
1547134ac98561
hex232e7992fa30

38682515143216 has 160 divisors (see below), whose sum is σ = 93627981139968. Its totient is φ = 15098128220160.

The previous prime is 38682515143187. The next prime is 38682515143231. The reversal of 38682515143216 is 61234151528683.

38682515143216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677744056 + ... + 677801128.

Almost surely, 238682515143216 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 38682515143216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46813990569984).

38682515143216 is an abundant number, since it is smaller than the sum of its proper divisors (54945465996752).

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

38682515143216 is a wasteful number, since it uses less digits than its factorization.

38682515143216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68619 (or 68613 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 55.

The spelling of 38682515143216 in words is "thirty-eight trillion, six hundred eighty-two billion, five hundred fifteen million, one hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 56 62 68 112 119 124 136 217 238 248 272 434 476 496 527 868 952 1054 1736 1904 2108 3472 3689 4216 7378 8432 11483 14756 22966 29512 45932 57073 59024 80381 91864 114146 160762 183728 195211 228292 321524 355973 390422 399511 456584 643048 711946 780844 799022 913168 970241 1286096 1366477 1423892 1561688 1598044 1769263 1940482 2491811 2732954 2847784 3123376 3196088 3538526 3880964 4983622 5465908 5695568 6051541 6392176 6791687 7077052 7761928 9967244 10931816 12103082 12384841 13583374 14154104 15523856 19934488 21863632 24206164 24769682 27166748 28308208 30077471 39868976 42360787 48412328 49539364 54333496 60154942 84721574 96824656 99078728 108666992 120309884 169443148 198157456 210542297 240619768 338886296 421084594 481239536 655369259 677772592 842169188 1310738518 1684338376 2621477036 3368676752 4587584813 5242954072 9175169626 10485908144 11141277403 18350339252 20316447029 22282554806 36700678504 40632894058 44565109612 73401357008 77988941821 81265788116 89130219224 142215129203 155977883642 162531576232 178260438448 284430258406 311955767284 325063152464 345379599493 568860516812 623911534568 690759198986 1137721033624 1247823069136 1381518397972 2275442067248 2417657196451 2763036795944 4835314392902 5526073591888 9670628785804 19341257571608 38682515143216