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10848220040 = 2357971313049
BaseRepresentation
bin10100001101001101…
…01011001110001000
31001000000211200021102
422012212223032020
5134204121020130
64552243000532
7532554230450
oct120646531610
931000750242
1010848220040
1146675a0309
122129069148
13103b654518
1474ca80d60
154375ac645
hex2869ab388

10848220040 has 128 divisors (see below), whose sum is σ = 28407456000. Its totient is φ = 3651747840.

The previous prime is 10848220027. The next prime is 10848220063. The reversal of 10848220040 is 4002284801.

It is a junction number, because it is equal to n+sod(n) for n = 10848219985 and 10848220012.

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, 3556436 + ... + 3559484.

It is an arithmetic number, because the mean of its divisors is an integer number (221933250).

Almost surely, 210848220040 is an apocalyptic number.

10848220040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10848220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14203728000).

10848220040 is an abundant number, since it is smaller than the sum of its proper divisors (17559235960).

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

10848220040 is a wasteful number, since it uses less digits than its factorization.

10848220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The spelling of 10848220040 in words is "ten billion, eight hundred forty-eight million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 131 140 194 262 280 388 485 524 655 679 776 917 970 1048 1310 1358 1834 1940 2620 2716 3049 3395 3668 3880 4585 5240 5432 6098 6790 7336 9170 12196 12707 13580 15245 18340 21343 24392 25414 27160 30490 36680 42686 50828 60980 63535 85372 88949 101656 106715 121960 127070 170744 177898 213430 254140 295753 355796 399419 426860 444745 508280 591506 711592 798838 853720 889490 1183012 1478765 1597676 1778980 1997095 2070271 2366024 2795933 2957530 3195352 3557960 3994190 4140542 5591866 5915060 7988380 8281084 10351355 11183732 11830120 13979665 15976760 16562168 20702710 22367464 27959330 38743643 41405420 55918660 77487286 82810840 111837320 154974572 193718215 271205501 309949144 387436430 542411002 774872860 1084822004 1356027505 1549745720 2169644008 2712055010 5424110020 10848220040