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10002198804 = 223131913272543
BaseRepresentation
bin10010101000010110…
…10111000100010100
3221211001220100022120
421110023113010110
5130441030330204
64332301455540
7502602200313
oct112413270424
927731810276
1010002198804
114272a87004
121b318715b0
13c352aa240
146ac57627a
153d81946d9
hex2542d7114

10002198804 has 96 divisors (see below), whose sum is σ = 26486906880. Its totient is φ = 2912277888.

The previous prime is 10002198737. The next prime is 10002198839. The reversal of 10002198804 is 40889120001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3931957 + ... + 3934499.

It is an arithmetic number, because the mean of its divisors is an integer number (275905280).

Almost surely, 210002198804 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 10002198804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13243453440).

10002198804 is an abundant number, since it is smaller than the sum of its proper divisors (16484708076).

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

10002198804 is a wasteful number, since it uses less digits than its factorization.

10002198804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 10002198804 in words is "ten billion, two million, one hundred ninety-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1327 1482 2543 2654 2964 3981 5086 5308 7629 7962 10172 15258 15924 17251 25213 30516 33059 34502 48317 50426 51753 66118 69004 75639 96634 99177 100852 103506 132236 144951 151278 193268 198354 207012 289902 302556 327769 396708 579804 628121 655538 983307 1256242 1311076 1884363 1966614 2512484 3374561 3768726 3933228 6749122 7537452 10123683 13498244 20247366 40494732 43869293 64116659 87738586 128233318 131607879 175477172 192349977 256466636 263215758 384699954 526431516 769399908 833516567 1667033134 2500549701 3334066268 5001099402 10002198804