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123827198404 = 22713289294023
BaseRepresentation
bin111001101010010101…
…1010001100111000100
3102211121201201102201111
41303110223101213010
54012044230322104
6132515130334404
711642360551150
oct1632453214704
9384551642644
10123827198404
1148573252a08
121bbb958a404
13b8a5085500
145dc9758060
15334ae95404
hex1cd4ad19c4

123827198404 has 72 divisors (see below), whose sum is σ = 271184215680. Its totient is φ = 48436008192.

The previous prime is 123827198401. The next prime is 123827198419. The reversal of 123827198404 is 404891728321.

It is not an unprimeable number, because it can be changed into a prime (123827198401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274137 + ... + 568159.

It is an arithmetic number, because the mean of its divisors is an integer number (3766447440).

Almost surely, 2123827198404 is an apocalyptic number.

123827198404 is a gapful number since it is divisible by the number (14) 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 123827198404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135592107840).

123827198404 is an abundant number, since it is smaller than the sum of its proper divisors (147357017276).

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

123827198404 is a wasteful number, since it uses less digits than its factorization.

123827198404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294149 (or 294134 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 123827198404 in words is "one hundred twenty-three billion, eight hundred twenty-seven million, one hundred ninety-eight thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 89 91 169 178 182 338 356 364 623 676 1157 1183 1246 2314 2366 2492 4628 4732 8099 15041 16198 30082 32396 60164 105287 210574 294023 421148 588046 1176092 2058161 3822299 4116322 7644598 8232644 15289196 26168047 26756093 49689887 52336094 53512186 99379774 104672188 107024372 183176329 198759548 340184611 347829209 366352658 680369222 695658418 732705316 1360738444 1391316836 2381292277 4422399943 4762584554 8844799886 9525169108 17689599772 30956799601 61913599202 123827198404