Search a number
-
+
10920905004195 = 3251918427693167
BaseRepresentation
bin1001111011101011100010…
…1010011101010010100011
31102200000202122110120200100
42132322320222131102203
52412412003140113240
635120554451153443
72205003130622034
oct236727052352243
942600678416610
1010920905004195
11353059119298a
121284664ba5883
13612ab59485a4
1429a808a9aa8b
1513e1278a4e30
hex9eeb8a9d4a3

10920905004195 has 48 divisors (see below), whose sum is σ = 19926971850240. Its totient is φ = 5517623541312.

The previous prime is 10920905004193. The next prime is 10920905004371. The reversal of 10920905004195 is 59140050902901.

10920905004195 is a `hidden beast` number, since 10 + 9 + 2 + 0 + 9 + 0 + 500 + 41 + 95 = 666.

It is not a de Polignac number, because 10920905004195 - 21 = 10920905004193 is a prime.

It is a super-2 number, since 2×109209050041952 (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 10920905004195.

It is not an unprimeable number, because it can be changed into a prime (10920905004193) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15408502 + ... + 16101668.

It is an arithmetic number, because the mean of its divisors is an integer number (415145246880).

Almost surely, 210920905004195 is an apocalyptic number.

10920905004195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10920905004195 is a deficient number, since it is larger than the sum of its proper divisors (9006066846045).

10920905004195 is a wasteful number, since it uses less digits than its factorization.

10920905004195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711624 (or 711621 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 10920905004195 in words is "ten trillion, nine hundred twenty billion, nine hundred five million, four thousand, one hundred ninety-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 18427 55281 92135 165843 276405 350113 693167 829215 1050339 1750565 2079501 3151017 3465835 5251695 6238503 10397505 13170173 15755085 31192515 39510519 65850865 118531557 197552595 592657785 12772988309 38318964927 63864941545 114956894781 191594824635 242686777871 574784473905 728060333613 1213433889355 2184181000839 3640301668065 10920905004195