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4921458286096 = 2411212723972
BaseRepresentation
bin100011110011101110111…
…0001011101111000010000
3122102111010220000122212101
41013213131301131320100
51121113121310123341
614244515311010144
71015364216131402
oct107473561357020
918374126018771
104921458286096
1116281a699a400
1267598a509954
13299126107a41
141302b2572b72
15880422ac831
hex479ddc5de10

4921458286096 has 135 divisors (see below), whose sum is σ = 10590831731277. Its totient is φ = 2213821653120.

The previous prime is 4921458286081. The next prime is 4921458286103. The reversal of 4921458286096 is 6906828541294.

The square root of 4921458286096 is 2218436.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3298219210000 + 1623239076096 = 1816100^2 + 1274064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12396620170 + ... + 12396620566.

Almost surely, 24921458286096 is an apocalyptic number.

4921458286096 is the 2218436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4921458286096

4921458286096 is an abundant number, since it is smaller than the sum of its proper divisors (5669373445181).

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

4921458286096 is an equidigital number, since it uses as much as digits as its factorization.

4921458286096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 64.

Multiplying 4921458286096 by its sum of digits (64), we get a square (314973330310144 = 177474882).

The spelling of 4921458286096 in words is "four trillion, nine hundred twenty-one billion, four hundred fifty-eight million, two hundred eighty-six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 127 176 242 254 397 484 508 794 968 1016 1397 1588 1936 2032 2794 3176 4367 5588 6352 8734 11176 15367 16129 17468 22352 30734 32258 34936 48037 50419 61468 64516 69872 96074 100838 122936 129032 157609 177419 192148 201676 245872 258064 315218 354838 384296 403352 554609 630436 709676 768592 806704 1109218 1260872 1419352 1733699 1951609 2218436 2521744 2838704 3467398 3903218 4436872 6100699 6403213 6934796 7806436 8873744 12201398 12806426 13869592 15612872 19070689 20016343 24402796 25612852 27739184 31225744 38141378 40032686 48805592 51225704 70435343 76282756 80065372 97611184 102451408 140870686 152565512 160130744 220179773 281741372 305131024 320261488 440359546 563482744 774788773 880719092 1126965488 1549577546 1761438184 2421977503 2542075561 3099155092 3522876368 4843955006 5084151122 6198310184 9687910012 10168302244 12396620368 19375820024 20336604488 27962831171 38751640048 40673208976 55925662342 111851324684 223702649368 307591142881 447405298736 615182285762 1230364571524 2460729143048 4921458286096