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2098695168 = 21032239901
BaseRepresentation
bin111110100010111…
…1000110000000000
312102021001202112200
41331011320300000
513244231221133
6544130153200
7103002420543
oct17505706000
95367052480
102098695168
11987727819
124a6a22800
13275a51c7b
1415ca2a85a
15c43aa913
hex7d178c00

2098695168 has 132 divisors (see below), whose sum is σ = 6324050928. Its totient is φ = 669081600.

The previous prime is 2098695149. The next prime is 2098695187. The reversal of 2098695168 is 8615968902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2098695149) and next prime (2098695187).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207018 + ... + 216918.

Almost surely, 22098695168 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 2098695168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162025464).

2098695168 is an abundant number, since it is smaller than the sum of its proper divisors (4225355760).

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

2098695168 is a wasteful number, since it uses less digits than its factorization.

2098695168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9950 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 2098695168 is about 45811.5178530465. The cubic root of 2098695168 is about 1280.3138813571.

The spelling of 2098695168 in words is "two billion, ninety-eight million, six hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1152 1472 1536 1656 2208 2304 2944 3072 3312 4416 4608 5888 6624 8832 9216 9901 11776 13248 17664 19802 23552 26496 29703 35328 39604 52992 59406 70656 79208 89109 105984 118812 158416 178218 211968 227723 237624 316832 356436 455446 475248 633664 683169 712872 910892 950496 1267328 1366338 1425744 1821784 1900992 2049507 2534656 2732676 2851488 3643568 3801984 4099014 5069312 5465352 5702976 7287136 7603968 8198028 10138624 10930704 11405952 14574272 15207936 16396056 21861408 22811904 29148544 30415872 32792112 43722816 45623808 58297088 65584224 87445632 91247616 116594176 131168448 174891264 233188352 262336896 349782528 524673792 699565056 1049347584 2098695168