Search a number
-
+
457103745060 = 2235109211331249
BaseRepresentation
bin1101010011011011000…
…00011010000000100100
31121200212100100011212120
412221231200122000210
524442122024320220
6545553543345540
745011312503524
oct6515540320044
91550770304776
10457103745060
11166947169236
127470b1522b0
13341490392c1
14181a4137684
15bd54c4ba40
hex6a6d81a024

457103745060 has 96 divisors (see below), whose sum is σ = 1297758000000. Its totient is φ = 120203274240.

The previous prime is 457103745031. The next prime is 457103745089. The reversal of 457103745060 is 60547301754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (457103745031) and next prime (457103745089).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214316 + ... + 1545564.

It is an arithmetic number, because the mean of its divisors is an integer number (13518312500).

Almost surely, 2457103745060 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 457103745060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648879000000).

457103745060 is an abundant number, since it is smaller than the sum of its proper divisors (840654254940).

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

457103745060 is a wasteful number, since it uses less digits than its factorization.

457103745060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331581 (or 331579 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 457103745060 in words is "four hundred fifty-seven billion, one hundred three million, seven hundred forty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 211 218 327 422 436 545 633 654 844 1055 1090 1266 1308 1635 2110 2180 2532 3165 3270 4220 6330 6540 12660 22999 45998 68997 91996 114995 137994 229990 275988 331249 344985 459980 662498 689970 993747 1324996 1379940 1656245 1987494 3312490 3974988 4968735 6624980 9937470 19874940 36106141 69893539 72212282 108318423 139787078 144424564 180530705 209680617 216636846 279574156 349467695 361061410 419361234 433273692 541592115 698935390 722122820 838722468 1048403085 1083184230 1397870780 2096806170 2166368460 4193612340 7618395751 15236791502 22855187253 30473583004 38091978755 45710374506 76183957510 91420749012 114275936265 152367915020 228551872530 457103745060