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490588009320 = 233517325791951
BaseRepresentation
bin1110010001110010101…
…00101111001101101000
31201220021220220001021010
413020321110233031220
531014211012244240
61013212323343520
750305141163313
oct7107124571550
91656256801233
10490588009320
1117a06a161602
127b0b4b21ba0
133735421b516
1419a5d20597a
15cb646c5280
hex723952f368

490588009320 has 128 divisors (see below), whose sum is σ = 1486047306240. Its totient is φ = 129559756800.

The previous prime is 490588009309. The next prime is 490588009333. The reversal of 490588009320 is 23900885094.

490588009320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 490588009320.

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, 5289345 + ... + 5381295.

It is an arithmetic number, because the mean of its divisors is an integer number (11609744580).

Almost surely, 2490588009320 is an apocalyptic number.

490588009320 is a gapful number since it is divisible by the number (40) 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 490588009320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743023653120).

490588009320 is an abundant number, since it is smaller than the sum of its proper divisors (995459296920).

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

490588009320 is a wasteful number, since it uses less digits than its factorization.

490588009320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92395 (or 92391 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 490588009320 in words is "four hundred ninety billion, five hundred eighty-eight million, nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 257 346 514 519 692 771 865 1028 1038 1285 1384 1542 1730 2056 2076 2570 2595 3084 3460 3855 4152 5140 5190 6168 6920 7710 10280 10380 15420 20760 30840 44461 88922 91951 133383 177844 183902 222305 266766 275853 355688 367804 444610 459755 533532 551706 666915 735608 889220 919510 1067064 1103412 1333830 1379265 1778440 1839020 2206824 2667660 2758530 3678040 5335320 5517060 11034120 15907523 23631407 31815046 47262814 47722569 63630092 70894221 79537615 94525628 95445138 118157035 127260184 141788442 159075230 189051256 190890276 236314070 238612845 283576884 318150460 354471105 381780552 472628140 477225690 567153768 636300920 708942210 945256280 954451380 1417884420 1908902760 2835768840 4088233411 8176466822 12264700233 16352933644 20441167055 24529400466 32705867288 40882334110 49058800932 61323501165 81764668220 98117601864 122647002330 163529336440 245294004660 490588009320