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10054404312 = 2334767173769
BaseRepresentation
bin10010101110100101…
…00000100011011000
3221221201010122210220
421113102200203120
5131042411414222
64341404440040
7504105012051
oct112722404330
927851118726
1010054404312
11429a4a3857
121b47249020
13c43058484
146b5485728
153dca57b5c
hex2574a08d8

10054404312 has 128 divisors (see below), whose sum is σ = 26238643200. Its totient is φ = 3208347648.

The previous prime is 10054404307. The next prime is 10054404319. The reversal of 10054404312 is 21340445001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10054404319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13074264 + ... + 13075032.

It is an arithmetic number, because the mean of its divisors is an integer number (204989400).

Almost surely, 210054404312 is an apocalyptic number.

10054404312 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 10054404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13119321600).

10054404312 is an abundant number, since it is smaller than the sum of its proper divisors (16184238888).

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

10054404312 is a wasteful number, since it uses less digits than its factorization.

10054404312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1061 counting only the distinct ones).

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

Adding to 10054404312 its reverse (21340445001), we get a palindrome (31394849313).

The spelling of 10054404312 in words is "ten billion, fifty-four million, four hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 67 94 134 141 173 188 201 268 282 346 376 402 519 536 564 692 769 804 1038 1128 1384 1538 1608 2076 2307 3076 3149 4152 4614 6152 6298 8131 9228 9447 11591 12596 16262 18456 18894 23182 24393 25192 32524 34773 36143 37788 46364 48786 51523 65048 69546 72286 75576 92728 97572 103046 108429 133037 139092 144572 154569 195144 206092 216858 266074 278184 289144 309138 399111 412184 433716 532148 544777 618276 798222 867432 1064296 1089554 1236552 1596444 1634331 2179108 2421581 3192888 3268662 4358216 4843162 6252739 6537324 7264743 8913479 9686324 12505478 13074648 14529486 17826958 18758217 19372648 25010956 26740437 29058972 35653916 37516434 50021912 53480874 58117944 71307832 75032868 106961748 150065736 213923496 418933513 837867026 1256800539 1675734052 2513601078 3351468104 5027202156 10054404312