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10412265000 = 23354733947
BaseRepresentation
bin10011011001001111…
…01000111000101000
3222212122111212101110
421230213220320220
5132311014440000
64441110550320
7516011535504
oct115447507050
928778455343
1010412265000
1144634a7895
1220270683a0
13c9c234567
1470abdb304
1540e195850
hex26c9e8e28

10412265000 has 160 divisors (see below), whose sum is σ = 32606687520. Its totient is φ = 2769888000.

The previous prime is 10412264999. The next prime is 10412265007. The reversal of 10412265000 is 56221401.

It is not an unprimeable number, because it can be changed into a prime (10412265007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10994527 + ... + 10995473.

It is an arithmetic number, because the mean of its divisors is an integer number (203791797).

Almost surely, 210412265000 is an apocalyptic number.

10412265000 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 10412265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303343760).

10412265000 is an abundant number, since it is smaller than the sum of its proper divisors (22194422520).

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

10412265000 is an equidigital number, since it uses as much as digits as its factorization.

10412265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10412265000 its reverse (56221401), we get a palindrome (10468486401).

The spelling of 10412265000 in words is "ten billion, four hundred twelve million, two hundred sixty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 733 750 947 1000 1250 1466 1500 1875 1894 2199 2500 2841 2932 3000 3665 3750 3788 4398 4735 5000 5682 5864 7330 7500 7576 8796 9470 10995 11364 14205 14660 15000 17592 18325 18940 21990 22728 23675 28410 29320 36650 37880 43980 47350 54975 56820 71025 73300 87960 91625 94700 109950 113640 118375 142050 146600 183250 189400 219900 236750 274875 284100 355125 366500 439800 458125 473500 549750 568200 591875 694151 710250 733000 916250 947000 1099500 1183750 1374375 1388302 1420500 1775625 1832500 2082453 2199000 2367500 2748750 2776604 2841000 3470755 3551250 3665000 4164906 4735000 5497500 5553208 6941510 7102500 8329812 10412265 10995000 13883020 14205000 16659624 17353775 20824530 27766040 34707550 41649060 52061325 69415100 83298120 86768875 104122650 138830200 173537750 208245300 260306625 347075500 416490600 433844375 520613250 694151000 867688750 1041226500 1301533125 1735377500 2082453000 2603066250 3470755000 5206132500 10412265000