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13837424720 = 2457174193469
BaseRepresentation
bin11001110001100011…
…00101100001010000
31022201100120000012212
430320301211201100
5211314340042340
610205024011252
7666622112060
oct147061454120
938640500185
1013837424720
115960957aa9
122822160b28
1313c6a291a2
14953a773a0
1555ec1ca65
hex338c65850

13837424720 has 160 divisors (see below), whose sum is σ = 39035001600. Its totient is φ = 4453244928.

The previous prime is 13837424651. The next prime is 13837424723. The reversal of 13837424720 is 2742473831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13837424723) 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, 3987146 + ... + 3990614.

It is an arithmetic number, because the mean of its divisors is an integer number (243968760).

Almost surely, 213837424720 is an apocalyptic number.

13837424720 is a gapful number since it is divisible by the number (10) 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 13837424720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19517500800).

13837424720 is an abundant number, since it is smaller than the sum of its proper divisors (25197576880).

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

13837424720 is a wasteful number, since it uses less digits than its factorization.

13837424720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 13837424720 in words is "thirteen billion, eight hundred thirty-seven million, four hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 419 476 560 595 680 838 952 1190 1360 1676 1904 2095 2380 2933 3352 3469 4190 4760 5866 6704 6938 7123 8380 9520 11732 13876 14246 14665 16760 17345 23464 24283 27752 28492 29330 33520 34690 35615 46928 48566 49861 55504 56984 58660 58973 69380 71230 97132 99722 113968 117320 117946 121415 138760 142460 194264 199444 234640 235892 242830 249305 277520 284920 294865 388528 398888 412811 471784 485660 498610 569840 589730 797776 825622 943568 971320 997220 1179460 1453511 1651244 1942640 1994440 2064055 2358920 2907022 3302488 3988880 4128110 4717840 5814044 6604976 7267555 8256220 10174577 11628088 14535110 16512440 20349154 23256176 24709687 29070220 33024880 40698308 49419374 50872885 58140440 81396616 98838748 101745770 116280880 123548435 162793232 172967809 197677496 203491540 247096870 345935618 395354992 406983080 494193740 691871236 813966160 864839045 988387480 1383742472 1729678090 1976774960 2767484944 3459356180 6918712360 13837424720