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10006608528 = 2432723431617
BaseRepresentation
bin10010101000111000…
…01011101010010000
3221211101012101022200
421110130023222100
5130443142433103
64332540203200
7502654524540
oct112434135220
927741171280
1010006608528
114275519104
121b33239500
13c36192447
146acda3320
153d87660a3
hex25470ba90

10006608528 has 120 divisors (see below), whose sum is σ = 33396874368. Its totient is φ = 2734718976.

The previous prime is 10006608509. The next prime is 10006608541. The reversal of 10006608528 is 82580660001.

It is a happy number.

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 = 10006608492 and 10006608501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192625 + ... + 238992.

Almost surely, 210006608528 is an apocalyptic number.

10006608528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10006608528 is an abundant number, since it is smaller than the sum of its proper divisors (23390265840).

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

10006608528 is a wasteful number, since it uses less digits than its factorization.

10006608528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431661 (or 431652 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10006608528 in words is "ten billion, six million, six hundred eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 11592 23184 431617 863234 1294851 1726468 2589702 3021319 3452936 3884553 5179404 6042638 6905872 7769106 9063957 9927191 10358808 12085276 15538212 18127914 19854382 20717616 24170552 27191871 29781573 31076424 36255828 39708764 48341104 54383742 59563146 62152848 69490337 72511656 79417528 89344719 108767484 119126292 138980674 145023312 158835056 178689438 208471011 217534968 238252584 277961348 357378876 416942022 435069936 476505168 555922696 625413033 714757752 833884044 1111845392 1250826066 1429515504 1667768088 2501652132 3335536176 5003304264 10006608528