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494870505984 = 2932359299147
BaseRepresentation
bin1110011001110001001…
…01001010101000000000
31202022100101011102021200
413030320211022220000
531101443322142414
61015201304221200
750516231616321
oct7147045125000
91668311142250
10494870505984
11180967554748
127baab16a800
133788751cb0a
1419d47c94448
15cd1564d109
hex733894aa00

494870505984 has 120 divisors (see below), whose sum is σ = 1432212930720. Its totient is φ = 164496795648.

The previous prime is 494870505959. The next prime is 494870505989. The reversal of 494870505984 is 489505078494.

494870505984 is a `hidden beast` number, since 4 + 9 + 48 + 7 + 0 + 505 + 9 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (494870505989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1504699 + ... + 1803845.

It is an arithmetic number, because the mean of its divisors is an integer number (11935107756).

Almost surely, 2494870505984 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 494870505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716106465360).

494870505984 is an abundant number, since it is smaller than the sum of its proper divisors (937342424736).

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

494870505984 is a wasteful number, since it uses less digits than its factorization.

494870505984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299530 (or 299511 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 494870505984 in words is "four hundred ninety-four billion, eight hundred seventy million, five hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 359 384 512 576 718 768 1077 1152 1436 1536 2154 2304 2872 3231 4308 4608 5744 6462 8616 11488 12924 17232 22976 25848 34464 45952 51696 68928 91904 103392 137856 183808 206784 275712 299147 413568 551424 598294 827136 897441 1196588 1654272 1794882 2393176 2692323 3589764 4786352 5384646 7179528 9572704 10769292 14359056 19145408 21538584 28718112 38290816 43077168 57436224 76581632 86154336 107393773 114872448 153163264 172308672 214787546 229744896 322181319 344617344 429575092 459489792 644362638 689234688 859150184 966543957 1288725276 1378469376 1718300368 1933087914 2577450552 3436600736 3866175828 5154901104 6873201472 7732351656 10309802208 13746402944 15464703312 20619604416 27492805888 30929406624 41239208832 54985611776 61858813248 82478417664 123717626496 164956835328 247435252992 494870505984