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2102800005288 = 2332139311675601
BaseRepresentation
bin11110100110011000101…
…001011011100010101000
321110000200202012012101100
4132212120221123202220
5233423013300132123
64250002445521400
7304631226063213
oct36463051334250
97400622165340
102102800005288
11740879868344
1229b653573260
131233a71a3578
1473ac173677a
1539a72e53643
hex1e998a5b8a8

2102800005288 has 96 divisors (see below), whose sum is σ = 5754507595200. Its totient is φ = 693652032000.

The previous prime is 2102800005197. The next prime is 2102800005323. The reversal of 2102800005288 is 8825000082012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2774688 + ... + 3450288.

It is an arithmetic number, because the mean of its divisors is an integer number (59942787450).

Almost surely, 22102800005288 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 2102800005288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877253797600).

2102800005288 is an abundant number, since it is smaller than the sum of its proper divisors (3651707589912).

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

2102800005288 is a wasteful number, since it uses less digits than its factorization.

2102800005288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676063 (or 676056 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 2102800005288 in words is "two trillion, one hundred two billion, eight hundred million, five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 311 417 556 622 834 933 1112 1244 1251 1668 1866 2488 2502 2799 3336 3732 5004 5598 7464 10008 11196 22392 43229 86458 129687 172916 259374 345832 389061 518748 675601 778122 1037496 1351202 1556244 2026803 2702404 3112488 4053606 5404808 6080409 8107212 12160818 16214424 24321636 48643272 93908539 187817078 210111911 281725617 375634156 420223822 563451234 630335733 751268312 840447644 845176851 1126902468 1260671466 1680895288 1690353702 1891007199 2253804936 2521342932 3380707404 3782014398 5042685864 6761414808 7564028796 15128057592 29205555629 58411111258 87616666887 116822222516 175233333774 233644445032 262850000661 350466667548 525700001322 700933335096 1051400002644 2102800005288