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10412286444 = 22327192174663
BaseRepresentation
bin10011011001001111…
…01110000111101100
3222212122112221210200
421230213232013230
5132311021131234
64441111233500
7516011655150
oct115447560754
928778487720
1010412286444
114463511a0a
122027078890
13c9c241251
1470ac05060
1540e19bd99
hex26c9ee1ec

10412286444 has 72 divisors (see below), whose sum is σ = 31663107840. Its totient is φ = 2818361952.

The previous prime is 10412286413. The next prime is 10412286457. The reversal of 10412286444 is 44468221401.

10412286444 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 2 + 2 + 8 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10412286399 and 10412286408.

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 23 ways as a sum of consecutive naturals, for example, 1082544 + ... + 1092119.

Almost surely, 210412286444 is an apocalyptic number.

10412286444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10412286444 is an abundant number, since it is smaller than the sum of its proper divisors (21250821396).

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

10412286444 is a wasteful number, since it uses less digits than its factorization.

10412286444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174699 (or 2174694 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 10412286444 in words is "ten billion, four hundred twelve million, two hundred eighty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 2174663 4349326 6523989 8698652 13047978 15222641 19571967 26095956 30445282 39143934 41318597 45667923 60890564 78287868 82637194 91335846 123955791 137003769 165274388 182671692 247911582 274007538 289230179 371867373 495823164 548015076 578460358 743734746 867690537 1156920716 1487469492 1735381074 2603071611 3470762148 5206143222 10412286444