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204234524304 = 243891072771613
BaseRepresentation
bin1011111000110101010…
…0111000011010010000
3201112011110021210210220
42332031110320122100
511321233014234204
6233453554353040
720520056545626
oct2761524703220
9645143253726
10204234524304
1179685078a68
12336b988b780
131634a6c5265
149c56643516
1554a50c31d9
hex2f8d538690

204234524304 has 160 divisors (see below), whose sum is σ = 540799493760. Its totient is φ = 66402226176.

The previous prime is 204234524293. The next prime is 204234524309. The reversal of 204234524304 is 403425432402.

It is not an unprimeable number, because it can be changed into a prime (204234524309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126617002 + ... + 126618614.

It is an arithmetic number, because the mean of its divisors is an integer number (3379996836).

Almost surely, 2204234524304 is an apocalyptic number.

204234524304 is a gapful number since it is divisible by the number (24) 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 204234524304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270399746880).

204234524304 is an abundant number, since it is smaller than the sum of its proper divisors (336564969456).

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

204234524304 is a wasteful number, since it uses less digits than its factorization.

204234524304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 33.

Adding to 204234524304 its reverse (403425432402), we get a palindrome (607659956706).

The spelling of 204234524304 in words is "two hundred four billion, two hundred thirty-four million, five hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 107 178 214 267 277 321 356 428 534 554 642 712 831 856 1068 1108 1284 1424 1613 1662 1712 2136 2216 2568 3226 3324 4272 4432 4839 5136 6452 6648 9523 9678 12904 13296 19046 19356 24653 25808 28569 29639 38092 38712 49306 57138 59278 73959 76184 77424 88917 98612 114276 118556 143557 147918 152368 172591 177834 197224 228552 237112 287114 295836 345182 355668 394448 430671 446801 457104 474224 517773 574228 591672 690364 711336 861342 893602 1035546 1148456 1183344 1340403 1380728 1422672 1722684 1787204 2071092 2296912 2637871 2680806 2761456 3445368 3574408 4142184 5275742 5361612 6890736 7148816 7913613 8284368 10551484 10723224 15360599 15827226 21102968 21446448 30721198 31654452 39765289 42205936 46081797 47807707 61442396 63308904 79530578 92163594 95615414 119295867 122884792 126617808 143423121 159061156 184327188 191230828 238591734 245769584 286846242 318122312 368654376 382461656 477183468 573692484 636244624 737308752 764923312 954366936 1147384968 1908733872 2294769936 4254885923 8509771846 12764657769 17019543692 25529315538 34039087384 51058631076 68078174768 102117262152 204234524304