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498478360900 = 225213254312
BaseRepresentation
bin1110100000011111010…
…00000010100101000100
31202122122210222102210211
413100033220002211010
531131340430022100
61020555305125204
751004521104632
oct7201750024504
91678583872724
10498478360900
11182449048523
1280737489804
1338010b20300
141a1ab0ca352
15ce772621ba
hex740fa02944

498478360900 has 81 divisors (see below), whose sum is σ = 1171521875223. Its totient is φ = 184019659200.

The previous prime is 498478360879. The next prime is 498478360907. The reversal of 498478360900 is 9063874894.

The square root of 498478360900 is 706030.

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

It can be written as a sum of positive squares in 4 ways, for example, as 128483534916 + 369994825984 = 358446^2 + 608272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (498478360907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91781185 + ... + 91786615.

Almost surely, 2498478360900 is an apocalyptic number.

498478360900 is the 706030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498478360900

498478360900 is an abundant number, since it is smaller than the sum of its proper divisors (673043514323).

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

498478360900 is an equidigital number, since it uses as much as digits as its factorization.

498478360900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 498478360900 in words is "four hundred ninety-eight billion, four hundred seventy-eight million, three hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 5431 8450 10862 16900 21724 27155 54310 70603 108620 135775 141206 271550 282412 353015 543100 706030 917839 1412060 1765075 1835678 3530150 3671356 4589195 7060300 9178390 18356780 22945975 29495761 45891950 58991522 91783900 117983044 147478805 294957610 383444893 589915220 737394025 766889786 1474788050 1533779572 1917224465 2949576100 3834448930 4984783609 7668897860 9586122325 9969567218 19172244650 19939134436 24923918045 38344489300 49847836090 99695672180 124619590225 249239180450 498478360900