Search a number
-
+
10643254415145 = 32511178912018739
BaseRepresentation
bin1001101011100001001101…
…1001100000111100101001
31101200111002200220021010100
42122320103121200330221
52343334341112241040
634345235451340013
72145643523560032
oct232702331407451
941614080807110
1010643254415145
113433862714950
12123a898451609
135c2868179a01
1428b1c9c91a89
15136cc7343b30
hex9ae13660f29

10643254415145 has 48 divisors (see below), whose sum is σ = 20136677745600. Its totient is φ = 5157480850560.

The previous prime is 10643254415107. The next prime is 10643254415179. The reversal of 10643254415145 is 54151445234601.

10643254415145 is a `hidden beast` number, since 1 + 0 + 6 + 43 + 2 + 54 + 41 + 514 + 5 = 666.

It is not a de Polignac number, because 10643254415145 - 29 = 10643254414633 is a prime.

It is a super-2 number, since 2×106432544151452 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10643254415145.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5123815 + ... + 6894924.

It is an arithmetic number, because the mean of its divisors is an integer number (419514119700).

Almost surely, 210643254415145 is an apocalyptic number.

10643254415145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10643254415145 is a deficient number, since it is larger than the sum of its proper divisors (9493423330455).

10643254415145 is a wasteful number, since it uses less digits than its factorization.

10643254415145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12020550 (or 12020547 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

Adding to 10643254415145 its reverse (54151445234601), we get a palindrome (64794699649746).

The spelling of 10643254415145 in words is "ten trillion, six hundred forty-three billion, two hundred fifty-four million, four hundred fifteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 1789 5367 8945 16101 19679 26835 59037 80505 98395 177111 295185 885555 12018739 36056217 60093695 108168651 132206129 180281085 396618387 540843255 661030645 1189855161 1983091935 5949275805 21501524071 64504572213 107507620355 193513716639 236516764781 322522861065 709550294343 967568583195 1182583823905 2128650883029 3547751471715 10643254415145