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1823619638052 = 22359471981153
BaseRepresentation
bin11010100010011000001…
…100110110001100100100
320110100002012002002200000
4122202120030312030210
5214334233111404202
63513432001421300
7245515665110412
oct32423014661444
96410065062600
101823619638052
11643435820313
1225551a63a830
13102c747b76b4
14643996b62b2
153268346491c
hex1a898336324

1823619638052 has 72 divisors (see below), whose sum is σ = 4785485411616. Its totient is φ = 607231012608.

The previous prime is 1823619638041. The next prime is 1823619638059. The reversal of 1823619638052 is 2508369163281.

1823619638052 is a `hidden beast` number, since 1 + 8 + 23 + 6 + 196 + 380 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1823619638052.

It is not an unprimeable number, because it can be changed into a prime (1823619638059) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 70093 + ... + 1911060.

Almost surely, 21823619638052 is an apocalyptic number.

1823619638052 is a gapful number since it is divisible by the number (12) 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 1823619638052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392742705808).

1823619638052 is an abundant number, since it is smaller than the sum of its proper divisors (2961865773564).

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

1823619638052 is a wasteful number, since it uses less digits than its factorization.

1823619638052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982119 (or 1982105 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1823619638052 in words is "one trillion, eight hundred twenty-three billion, six hundred nineteen million, six hundred thirty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 947 972 1894 2841 3788 5682 8523 11364 17046 25569 34092 51138 76707 102276 153414 230121 306828 460242 920484 1981153 3962306 5943459 7924612 11886918 17830377 23773836 35660754 53491131 71321508 106982262 160473393 213964524 320946786 481420179 641893572 962840358 1876151891 1925680716 3752303782 5628455673 7504607564 11256911346 16885367019 22513822692 33770734038 50656101057 67541468076 101312202114 151968303171 202624404228 303936606342 455904909513 607873212684 911809819026 1823619638052