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10132044450 = 23521153115861
BaseRepresentation
bin10010110111110101…
…01011101010100010
3222011010020012001120
421123322223222202
5131222300410300
64353220513110
7506036646123
oct113372535242
928133205046
1010132044450
11432a302a60
121b6924b796
13c56170698
146c18d604a
153e47923a0
hex25beabaa2

10132044450 has 96 divisors (see below), whose sum is σ = 27929230272. Its totient is φ = 2409888000.

The previous prime is 10132044361. The next prime is 10132044469. The reversal of 10132044450 is 5444023101.

It is a self number, because there is not a number n which added to its sum of digits gives 10132044450.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29520 + ... + 145380.

It is an arithmetic number, because the mean of its divisors is an integer number (290929482).

Almost surely, 210132044450 is an apocalyptic number.

10132044450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132044450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13964615136).

10132044450 is an abundant number, since it is smaller than the sum of its proper divisors (17797185822).

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

10132044450 is a wasteful number, since it uses less digits than its factorization.

10132044450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115940 (or 115935 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10132044450 its reverse (5444023101), we get a palindrome (15576067551).

The spelling of 10132044450 in words is "ten billion, one hundred thirty-two million, forty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 53 55 66 75 106 110 150 159 165 265 275 318 330 530 550 583 795 825 1166 1325 1590 1650 1749 2650 2915 3498 3975 5830 7950 8745 14575 17490 29150 43725 87450 115861 231722 347583 579305 695166 1158610 1274471 1737915 2548942 2896525 3475830 3823413 5793050 6140633 6372355 7646826 8689575 12281266 12744710 17379150 18421899 19117065 30703165 31861775 36843798 38234130 61406330 63723550 67546963 92109495 95585325 135093926 153515825 184218990 191170650 202640889 307031650 337734815 405281778 460547475 675469630 921094950 1013204445 1688674075 2026408890 3377348150 5066022225 10132044450