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10285477272 = 2332723887291
BaseRepresentation
bin10011001010000111…
…11110110110011000
3222112210221101022200
421211003332312120
5132031040233042
64420341250200
7512612054130
oct114503766630
928483841280
1010285477272
1143a897a344
121bb0703960
13c7bba1c35
146d8035ac0
15402e9dc4c
hex2650fed98

10285477272 has 96 divisors (see below), whose sum is σ = 33220212480. Its totient is φ = 2810934720.

The previous prime is 10285477253. The next prime is 10285477273. The reversal of 10285477272 is 27277458201.

10285477272 is a `hidden beast` number, since 10 + 28 + 547 + 7 + 2 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10285477273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432054 + ... + 455237.

It is an arithmetic number, because the mean of its divisors is an integer number (346043880).

Almost surely, 210285477272 is an apocalyptic number.

10285477272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10285477272 is an abundant number, since it is smaller than the sum of its proper divisors (22934735208).

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

10285477272 is a wasteful number, since it uses less digits than its factorization.

10285477272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887333 (or 887326 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 10285477272 in words is "ten billion, two hundred eighty-five million, four hundred seventy-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 887291 1774582 2661873 3549164 5323746 6211037 7098328 7985619 10647492 12422074 15971238 18633111 20407693 21294984 24844148 31942476 37266222 40815386 49688296 55899333 61223079 63884952 74532444 81630772 111798666 122446158 142853851 149064888 163261544 183669237 223597332 244892316 285707702 367338474 428561553 447194664 489784632 571415404 734676948 857123106 1142830808 1285684659 1469353896 1714246212 2571369318 3428492424 5142738636 10285477272