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2098855680 = 2835619883
BaseRepresentation
bin111110100011001…
…1111111100000000
312102021100220201120
41331012133330000
513244301340210
6544133432240
7103003656525
oct17506377400
95367326646
102098855680
11987827379
124a6a9b680
13275aaa04c
1415ca6d14c
15c43dd270
hex7d19ff00

2098855680 has 144 divisors (see below), whose sum is σ = 6721653120. Its totient is φ = 558157824.

The previous prime is 2098855679. The next prime is 2098855709. The reversal of 2098855680 is 865588902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2376519 + ... + 2377401.

Almost surely, 22098855680 is an apocalyptic number.

2098855680 is a gapful number since it is divisible by the number (20) 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 2098855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360826560).

2098855680 is an abundant number, since it is smaller than the sum of its proper divisors (4622797440).

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

2098855680 is an equidigital number, since it uses as much as digits as its factorization.

2098855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The square root of 2098855680 is about 45813.2696933978. The cubic root of 2098855680 is about 1280.3465207650.

The spelling of 2098855680 in words is "two billion, ninety-eight million, eight hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 619 640 768 883 960 1238 1280 1766 1857 1920 2476 2649 3095 3532 3714 3840 4415 4952 5298 6190 7064 7428 8830 9285 9904 10596 12380 13245 14128 14856 17660 18570 19808 21192 24760 26490 28256 29712 35320 37140 39616 42384 49520 52980 56512 59424 70640 74280 79232 84768 99040 105960 113024 118848 141280 148560 158464 169536 198080 211920 226048 237696 282560 297120 339072 396160 423840 475392 546577 565120 594240 678144 792320 847680 1093154 1130240 1188480 1639731 1695360 2186308 2376960 2732885 3279462 3390720 4372616 5465770 6558924 8198655 8745232 10931540 13117848 16397310 17490464 21863080 26235696 32794620 34980928 43726160 52471392 65589240 69961856 87452320 104942784 131178480 139923712 174904640 209885568 262356960 349809280 419771136 524713920 699618560 1049427840 2098855680