Search a number
-
+
1828941100848 = 243229437964823
BaseRepresentation
bin11010100111010101011…
…000100111011100110000
320110211211001100102021200
4122213111120213130300
5214431132410211343
63520112015051200
7246064602565251
oct32472530473460
96424731312250
101828941100848
11645716631054
12256564810b00
1310361211a254
1464742336b28
15328957194d3
hex1a9d5627730

1828941100848 has 60 divisors (see below), whose sum is σ = 5294994722160. Its totient is φ = 588624720768.

The previous prime is 1828941100807. The next prime is 1828941100913. The reversal of 1828941100848 is 8480011498281.

It is a happy number.

1828941100848 is a `hidden beast` number, since 182 + 8 + 9 + 411 + 0 + 0 + 8 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1828941100794 and 1828941100803.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218978236 + ... + 218986587.

It is an arithmetic number, because the mean of its divisors is an integer number (88249912036).

Almost surely, 21828941100848 is an apocalyptic number.

1828941100848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1828941100848 is an abundant number, since it is smaller than the sum of its proper divisors (3466053621312).

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

1828941100848 is a wasteful number, since it uses less digits than its factorization.

1828941100848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437964866 (or 437964857 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 1828941100848 in words is "one trillion, eight hundred twenty-eight billion, nine hundred forty-one million, one hundred thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 437964823 875929646 1313894469 1751859292 2627788938 3503718584 3941683407 5255577876 7007437168 7883366814 10511155752 12700979867 15766733628 21022311504 25401959734 31533467256 38102939601 50803919468 63066934512 76205879202 101607838936 114308818803 152411758404 203215677872 228617637606 304823516808 457235275212 609647033616 914470550424 1828941100848