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10045025412 = 22319596771103
BaseRepresentation
bin10010101101011101…
…01110110010000100
3221221001111011101020
421112232232302010
5131033011303122
64340431431140
7503632210242
oct112656566204
927831434336
1010045025412
1142951782a4
121b440854b0
13c41123526
146b4123792
153dbd03c5c
hex256baec84

10045025412 has 96 divisors (see below), whose sum is σ = 25150003200. Its totient is φ = 3110919552.

The previous prime is 10045025383. The next prime is 10045025453. The reversal of 10045025412 is 21452054001.

10045025412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9106453 + ... + 9107555.

It is an arithmetic number, because the mean of its divisors is an integer number (261979200).

Almost surely, 210045025412 is an apocalyptic number.

10045025412 is a gapful number since it is divisible by the number (12) 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 10045025412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12575001600).

10045025412 is an abundant number, since it is smaller than the sum of its proper divisors (15104977788).

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

10045025412 is a wasteful number, since it uses less digits than its factorization.

10045025412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 10045025412 its reverse (21452054001), we get a palindrome (31497079413).

The spelling of 10045025412 in words is "ten billion, forty-five million, twenty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 354 677 708 1103 1121 1354 2031 2206 2242 2708 3309 3363 4062 4412 4484 6618 6726 8124 12863 13236 13452 20957 25726 38589 39943 41914 51452 62871 65077 77178 79886 83828 119829 125742 130154 154356 159772 195231 239658 251484 260308 390462 479316 746731 758917 780924 1236463 1493462 1517834 2240193 2276751 2472926 2986924 3035668 3709389 4480386 4553502 4945852 7418778 8960772 9107004 14187889 14837556 28375778 42563667 44057129 56751556 85127334 88114258 132171387 170254668 176228516 264342774 528685548 837085451 1674170902 2511256353 3348341804 5022512706 10045025412