Search a number
-
+
11451146605530 = 2352511980176801
BaseRepresentation
bin1010011010100010110110…
…0001101001001111011010
31111112201102002120211000120
42212220231201221033122
53000103422012334110
640204330101014110
72261214042102342
oct246505541511732
944481362524016
1011451146605530
113715449801035
12134b3859b4336
13650ab9220108
142b834a459d22
1514cd0d437870
hexa6a2d8693da

11451146605530 has 64 divisors (see below), whose sum is σ = 27593997653376. Its totient is φ = 3041280000000.

The previous prime is 11451146605517. The next prime is 11451146605583. The reversal of 11451146605530 is 3550664115411.

It is a happy number.

11451146605530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114511466055302 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149063130 + ... + 149139930.

It is an arithmetic number, because the mean of its divisors is an integer number (431156213334).

Almost surely, 211451146605530 is an apocalyptic number.

11451146605530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11451146605530 is an abundant number, since it is smaller than the sum of its proper divisors (16142851047846).

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

11451146605530 is a wasteful number, since it uses less digits than its factorization.

11451146605530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96863.

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 11451146605530 in words is "eleven trillion, four hundred fifty-one billion, one hundred forty-six million, six hundred five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 251 502 753 1255 1506 2510 3765 7530 19801 39602 59403 76801 99005 118806 153602 198010 230403 297015 384005 460806 594030 768010 1152015 2304030 4970051 9940102 14910153 19277051 24850255 29820306 38554102 49700510 57831153 74550765 96385255 115662306 149101530 192770510 289155765 578311530 1520736601 3041473202 4562209803 7603683005 9124419606 15207366010 22811049015 45622098030 381704886851 763409773702 1145114660553 1908524434255 2290229321106 3817048868510 5725573302765 11451146605530