Search a number
-
+
123828200808 = 23313757524287
BaseRepresentation
bin111001101010010111…
…1000110010101101000
3102211121210121100202120
41303110233012111220
54012100004411213
6132515204031240
711642402224464
oct1632457062550
9384553540676
10123828200808
1148573878044
121bbb9992520
13b8a5346850
145dc99394a4
15334b0e2423
hex1cd4bc6568

123828200808 has 64 divisors (see below), whose sum is σ = 333824655360. Its totient is φ = 38050580736.

The previous prime is 123828200807. The next prime is 123828200827. The reversal of 123828200808 is 808002828321.

It is a self number, because there is not a number n which added to its sum of digits gives 123828200808.

It is not an unprimeable number, because it can be changed into a prime (123828200807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25960 + ... + 498327.

It is an arithmetic number, because the mean of its divisors is an integer number (5216010240).

Almost surely, 2123828200808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123828200808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166912327680).

123828200808 is an abundant number, since it is smaller than the sum of its proper divisors (209996454552).

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

123828200808 is a wasteful number, since it uses less digits than its factorization.

123828200808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525066 (or 525062 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 123828200808 in words is "one hundred twenty-three billion, eight hundred twenty-eight million, two hundred thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 757 1514 2271 3028 4542 6056 9084 9841 18168 19682 29523 39364 59046 78728 118092 236184 524287 1048574 1572861 2097148 3145722 4194296 6291444 6815731 12582888 13631462 20447193 27262924 40894386 54525848 81788772 163577544 396885259 793770518 1190655777 1587541036 2381311554 3175082072 4762623108 5159508367 9525246216 10319016734 15478525101 20638033468 30957050202 41276066936 61914100404 123828200808