Search a number
-
+
157882162386 = 231319595473301
BaseRepresentation
bin1001001100001010000…
…0101001110011010010
3120002112002010211221210
42103002200221303102
510041320313144021
6200310254400550
714256316144344
oct2230240516322
9502462124853
10157882162386
1160a59401443
1226722500156
1311b71574980
1478da543294
154190a9ee76
hex24c2829cd2

157882162386 has 128 divisors (see below), whose sum is σ = 364794393600. Its totient is φ = 45145900800.

The previous prime is 157882162283. The next prime is 157882162421. The reversal of 157882162386 is 683261288751.

157882162386 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47826936 + ... + 47830236.

It is an arithmetic number, because the mean of its divisors is an integer number (2849956200).

Almost surely, 2157882162386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157882162386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182397196800).

157882162386 is an abundant number, since it is smaller than the sum of its proper divisors (206912231214).

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

157882162386 is a wasteful number, since it uses less digits than its factorization.

157882162386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944.

The product of its digits is 7741440, while the sum is 57.

The spelling of 157882162386 in words is "one hundred fifty-seven billion, eight hundred eighty-two million, one hundred sixty-two thousand, three hundred eighty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 59 78 114 118 177 247 354 494 547 741 767 1094 1121 1482 1534 1641 2242 2301 3282 3301 3363 4602 6602 6726 7111 9903 10393 14222 14573 19806 20786 21333 29146 31179 32273 42666 42913 43719 62358 62719 64546 85826 87438 96819 125438 128739 135109 188157 193638 194759 257478 270218 376314 389518 405327 419549 584277 613187 810654 815347 839098 1168554 1226374 1258647 1630694 1805647 1839561 2446041 2517294 2531867 3611294 3679122 3700421 4892082 5063734 5416941 7400842 7595601 7971431 10833882 11101263 15191202 15942862 22202526 23473411 23914293 34307293 46946822 47828586 48105473 68614586 70420233 96210946 102921879 106533173 140840466 144316419 205843758 213066346 288632838 319599519 445994809 639199038 891989618 1337984427 1384931249 2024130287 2675968854 2769862498 4048260574 4154793747 6072390861 8309587494 12144781722 26313693731 52627387462 78941081193 157882162386