Search a number
-
+
115381728552 = 233377310117623
BaseRepresentation
bin110101101110101001…
…0010111010100101000
3102000211011002010001210
41223131102113110220
53342300210303202
6125001114513120
711223160340106
oct1533522272450
9360734063053
10115381728552
1144a29a83462
121a4411357a0
13ab5a47067c
145827c50c76
153004803c6c
hex1add497528

115381728552 has 128 divisors (see below), whose sum is σ = 303299170560. Its totient is φ = 36540979200.

The previous prime is 115381728521. The next prime is 115381728557. The reversal of 115381728552 is 255827183511.

It is not an unprimeable number, because it can be changed into a prime (115381728557) 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 31 ways as a sum of consecutive naturals, for example, 6538413 + ... + 6556035.

It is an arithmetic number, because the mean of its divisors is an integer number (2369524770).

Almost surely, 2115381728552 is an apocalyptic number.

115381728552 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 115381728552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151649585280).

115381728552 is an abundant number, since it is smaller than the sum of its proper divisors (187917442008).

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

115381728552 is a wasteful number, since it uses less digits than its factorization.

115381728552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17843 (or 17839 counting only the distinct ones).

The product of its digits is 672000, while the sum is 48.

The spelling of 115381728552 in words is "one hundred fifteen billion, three hundred eighty-one million, seven hundred twenty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 37 73 74 101 111 146 148 202 219 222 292 296 303 404 438 444 584 606 808 876 888 1212 1752 2424 2701 3737 5402 7373 7474 8103 10804 11211 14746 14948 16206 17623 21608 22119 22422 29492 29896 32412 35246 44238 44844 52869 58984 64824 70492 88476 89688 105738 140984 176952 211476 272801 422952 545602 652051 818403 1091204 1286479 1304102 1636806 1779923 1956153 2182408 2572958 2608204 3273612 3559846 3859437 3912306 5145916 5216408 5339769 6547224 7119692 7718874 7824612 10291832 10679538 14239384 15437748 15649224 21359076 30875496 42718152 47599723 65857151 95199446 129934379 131714302 142799169 190398892 197571453 259868758 263428604 285598338 380797784 389803137 395142906 519737516 526857208 571196676 779606274 790285812 1039475032 1142393352 1559212548 1580571624 3118425096 4807572023 9615144046 14422716069 19230288092 28845432138 38460576184 57690864276 115381728552