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11098199161668 = 22317791494621777
BaseRepresentation
bin1010000110000000000000…
…1101111111101101000100
31110021222101120200221210010
42201200000031333231010
52423313102441133133
635334235312230220
72223550502243313
oct241400015775504
943258346627703
1011098199161668
1135997a1108573
1212b2aa453b370
1362672bb0bc88
142a522738227a
15143a52772263
hexa180037fb44

11098199161668 has 96 divisors (see below), whose sum is σ = 27952513344000. Its totient is φ = 3414642057216.

The previous prime is 11098199161667. The next prime is 11098199161691. The reversal of 11098199161668 is 86616199189011.

It is a junction number, because it is equal to n+sod(n) for n = 11098199161599 and 11098199161608.

It is not an unprimeable number, because it can be changed into a prime (11098199161663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90396 + ... + 4712172.

It is an arithmetic number, because the mean of its divisors is an integer number (291172014000).

Almost surely, 211098199161668 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 11098199161668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976256672000).

11098199161668 is an abundant number, since it is smaller than the sum of its proper divisors (16854314182332).

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

11098199161668 is a wasteful number, since it uses less digits than its factorization.

11098199161668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622029 (or 4622027 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 66.

The spelling of 11098199161668 in words is "eleven trillion, ninety-eight billion, one hundred ninety-nine million, one hundred sixty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 149 158 204 237 298 316 447 474 596 894 948 1343 1788 2533 2686 4029 5066 5372 7599 8058 10132 11771 15198 16116 23542 30396 35313 47084 70626 141252 200107 400214 600321 800428 1200642 2401284 4621777 9243554 13865331 18487108 27730662 55461324 78570209 157140418 235710627 314280836 365120383 471421254 688644773 730240766 942842508 1095361149 1377289546 1460481532 2065934319 2190722298 2754579092 4131868638 4381444596 6207046511 8263737276 11706961141 12414093022 18621139533 23413922282 24828186044 35120883423 37242279066 46827844564 54402937067 70241766846 74484558132 108805874134 140483533692 163208811201 217611748268 326417622402 652835244804 924849930139 1849699860278 2774549790417 3699399720556 5549099580834 11098199161668