Search a number
-
+
115151201632 = 25172322740543
BaseRepresentation
bin110101100111110001…
…0111110010101100000
3102000020002022010120201
41223033202332111200
53341312201423012
6124522201514544
711214361031005
oct1531742762540
9360202263521
10115151201632
1144920940145
121a397aa2a54
13ab217885cc
1458053a38ac
152ede469857
hex1acf8be560

115151201632 has 96 divisors (see below), whose sum is σ = 251585574912. Its totient is φ = 51603154944.

The previous prime is 115151201611. The next prime is 115151201651. The reversal of 115151201632 is 236102151511.

It is a self number, because there is not a number n which added to its sum of digits gives 115151201632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2819953 + ... + 2860495.

It is an arithmetic number, because the mean of its divisors is an integer number (2620683072).

Almost surely, 2115151201632 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 115151201632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125792787456).

115151201632 is an abundant number, since it is smaller than the sum of its proper divisors (136434373280).

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

115151201632 is a wasteful number, since it uses less digits than its factorization.

115151201632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40820 (or 40812 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 115151201632 in words is "one hundred fifteen billion, one hundred fifty-one million, two hundred one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 227 272 368 391 454 544 736 782 908 1564 1816 3128 3632 3859 5221 6256 7264 7718 10442 12512 15436 20884 30872 40543 41768 61744 81086 83536 88757 123488 162172 167072 177514 324344 355028 648688 689231 710056 932489 1297376 1378462 1420112 1864978 2756924 2840224 3729956 5513848 7459912 9203261 11027696 14919824 15852313 18406522 22055392 29839648 31704626 36813044 63409252 73626088 126818504 147252176 156455437 211675003 253637008 294504352 312910874 423350006 507274016 625821748 846700012 1251643496 1693400024 2503286992 3386800048 3598475051 5006573984 6773600096 7196950102 14393900204 28787800408 57575600816 115151201632