Search a number
-
+
98200489267456 = 2889269592
BaseRepresentation
bin10110010101000000010101…
…010001111001000100000000
3110212200212121221101201120221
4112111000111101321010000
5100332404100223024311
6544504403150312424
726453515445245012
oct2625002521710400
9425625557351527
1098200489267456
1129320659123464
12b01bab51b8714
1342a4360398a14
141a36d014041b2
15b54647bae671
hex595015479100

98200489267456 has 81 divisors (see below), whose sum is σ = 198273063525061. Its totient is φ = 48541580122112.

The previous prime is 98200489267427. The next prime is 98200489267459. The reversal of 98200489267456 is 65476298400289.

The square root of 98200489267456 is 9909616.

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., 18856576717056 + 79343912550400 = 4342416^2 + 8907520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98200489267459) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14111289705 + ... + 14111296663.

Almost surely, 298200489267456 is an apocalyptic number.

98200489267456 is the 9909616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98200489267456

98200489267456 is an abundant number, since it is smaller than the sum of its proper divisors (100072574257605).

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

98200489267456 is an frugal number, since it uses more digits than its factorization.

98200489267456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14112 (or 7050 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 70.

The spelling of 98200489267456 in words is "ninety-eight trillion, two hundred billion, four hundred eighty-nine million, two hundred sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 1424 2848 5696 6959 7921 11392 13918 15842 22784 27836 31684 55672 63368 111344 126736 222688 253472 445376 506944 619351 890752 1013888 1238702 1781504 2027776 2477404 4954808 9909616 19819232 39638464 48427681 55122239 79276928 96855362 110244478 158553856 193710724 220488956 387421448 440977912 774842896 881955824 1549685792 1763911648 3099371584 3527823296 4310063609 6198743168 7055646592 8620127218 12397486336 14111293184 17240254436 34480508872 68961017744 137922035488 275844070976 383595661201 551688141952 767191322402 1103376283904 1534382644804 3068765289608 6137530579216 12275061158432 24550122316864 49100244633728 98200489267456