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10902381852208 = 24711312293124493
BaseRepresentation
bin1001111010100110100010…
…0110001111011000110000
31102121020221201212222001011
42132221220212033120300
52412111034223232313
635104252435520304
72203446120465340
oct236515046173060
942536851788034
1010902381852208
113523746370710
121280b55759094
13611123217c22
1429996c9acd20
1513d8e160d93d
hex9ea6898f630

10902381852208 has 160 divisors (see below), whose sum is σ = 27197234122752. Its totient is φ = 4108833561600.

The previous prime is 10902381852161. The next prime is 10902381852209. The reversal of 10902381852208 is 80225818320901.

It is not an unprimeable number, because it can be changed into a prime (10902381852209) 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, 87512010 + ... + 87636502.

Almost surely, 210902381852208 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 10902381852208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13598617061376).

10902381852208 is an abundant number, since it is smaller than the sum of its proper divisors (16294852270544).

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

10902381852208 is a wasteful number, since it uses less digits than its factorization.

10902381852208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126843 (or 126837 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 10902381852208 in words is "ten trillion, nine hundred two billion, three hundred eighty-one million, eight hundred fifty-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 434 496 616 682 868 1232 1364 1736 2293 2387 2728 3472 4586 4774 5456 9172 9548 16051 18344 19096 25223 32102 36688 38192 50446 64204 71083 100892 124493 128408 142166 176561 201784 248986 256816 284332 353122 403568 497581 497972 568664 706244 781913 871451 995162 995944 1137328 1369423 1412488 1563826 1742902 1990324 1991888 2738846 2824976 3127652 3485804 3859283 3980648 5473391 5477692 6255304 6971608 7718566 7961296 9585961 10946782 10955384 12510608 13943216 15437132 19171922 21893564 21910768 27014981 30874264 38343844 42452113 43787128 54029962 61748528 76687688 84904226 87574256 108059924 153375376 169808452 216119848 285462449 297164791 339616904 432239696 570924898 594329582 679233808 1141849796 1188659164 1998237143 2283699592 2377318328 3140086939 3996474286 4567399184 4754636656 6280173878 7992948572 8849335919 12560347756 15985897144 17698671838 21980608573 25120695512 31971794288 35397343676 43961217146 50241391024 61945351433 70794687352 87922434292 97342695109 123890702866 141589374704 175844868584 194685390218 247781405732 351689737168 389370780436 495562811464 681398865763 778741560872 991125622928 1362797731526 1557483121744 2725595463052 5451190926104 10902381852208