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10412050104 = 23323116328619
BaseRepresentation
bin10011011001001101…
…10100011010111000
3222212122002221121100
421230212310122320
5132310441100404
64441102211400
7516006652131
oct115446643270
928778087540
1010412050104
114463370395
122026b83b60
13c9c18a7c1
1470ab82c88
1540e151d39
hex26c9b46b8

10412050104 has 96 divisors (see below), whose sum is σ = 29288563200. Its totient is φ = 3338003520.

The previous prime is 10412050097. The next prime is 10412050109. The reversal of 10412050104 is 40105021401.

10412050104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412050109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349507 + ... + 378125.

It is an arithmetic number, because the mean of its divisors is an integer number (305089200).

Almost surely, 210412050104 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 10412050104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14644281600).

10412050104 is an abundant number, since it is smaller than the sum of its proper divisors (18876513096).

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

10412050104 is a wasteful number, since it uses less digits than its factorization.

10412050104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28825 (or 28818 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10412050104 its reverse (40105021401), we get a palindrome (50517071505).

The spelling of 10412050104 in words is "ten billion, four hundred twelve million, fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 163 186 248 279 326 372 489 558 652 744 978 1116 1304 1467 1956 2232 2934 3912 5053 5868 10106 11736 15159 20212 28619 30318 40424 45477 57238 60636 85857 90954 114476 121272 171714 181908 228952 257571 343428 363816 515142 686856 887189 1030284 1774378 2060568 2661567 3548756 4664897 5323134 7097512 7984701 9329794 10646268 13994691 15969402 18659588 21292536 27989382 31938804 37319176 41984073 55978764 63877608 83968146 111957528 144611807 167936292 289223614 335872584 433835421 578447228 867670842 1156894456 1301506263 1735341684 2603012526 3470683368 5206025052 10412050104