Search a number
-
+
155241119268 = 22341099974409
BaseRepresentation
bin1001000010010100010…
…1110111111000100100
3112211201000112221220000
42100211011313320210
510020413211304033
6155152231541300
714134006512234
oct2204505677044
9484630487800
10155241119268
115a923623684
1226105b2a830
1311840361471
147729899cc4
154088cb3a13
hex2425177e24

155241119268 has 120 divisors (see below), whose sum is σ = 410057940600. Its totient is φ = 51209252352.

The previous prime is 155241119251. The next prime is 155241119279. The reversal of 155241119268 is 862911142551.

155241119268 is a `hidden beast` number, since 1 + 5 + 524 + 1 + 119 + 2 + 6 + 8 = 666.

155241119268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28361254464 + 126879864804 = 168408^2 + 356202^2 .

It is a super-2 number, since 2×1552411192682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35207848 + ... + 35212256.

It is an arithmetic number, because the mean of its divisors is an integer number (3417149505).

Almost surely, 2155241119268 is an apocalyptic number.

155241119268 is a gapful number since it is divisible by the number (18) 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 155241119268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205028970300).

155241119268 is an abundant number, since it is smaller than the sum of its proper divisors (254816821332).

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

155241119268 is a wasteful number, since it uses less digits than its factorization.

155241119268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531 (or 5520 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The spelling of 155241119268 in words is "one hundred fifty-five billion, two hundred forty-one million, one hundred nineteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 997 1308 1962 1994 2943 2991 3924 3988 4409 5886 5982 8818 8829 8973 11772 11964 13227 17636 17658 17946 26454 26919 35316 35892 39681 52908 53838 79362 80757 107676 108673 119043 158724 161514 217346 238086 323028 326019 357129 434692 476172 480581 652038 714258 961162 978057 1304076 1428516 1441743 1922324 1956114 2883486 2934171 3912228 4325229 4395773 5766972 5868342 8650458 8791546 8802513 11736684 12975687 13187319 17300916 17583092 17605026 25951374 26374638 35210052 38927061 39561957 51902748 52749276 77854122 79123914 118685871 155708244 158247828 237371742 356057613 474743484 479139257 712115226 958278514 1424230452 1437417771 1916557028 2874835542 4312253313 5749671084 8624506626 12936759939 17249013252 25873519878 38810279817 51747039756 77620559634 155241119268