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10620062532 = 2232674619551
BaseRepresentation
bin10011110010000000…
…10100101101000100
31000102010112002000100
421321000110231010
5133222214000112
64513452444100
7524114020302
oct117100245504
930363462010
1010620062532
11455a826192
122084779630
1310032bba91
1472a64d272
154225402dc
hex279014b44

10620062532 has 72 divisors (see below), whose sum is σ = 27307792512. Its totient is φ = 3479256000.

The previous prime is 10620062513. The next prime is 10620062533. The reversal of 10620062532 is 23526002601.

10620062532 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 0 + 0 + 625 + 32 = 666.

It is a super-2 number, since 2×106200625322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10620062496 and 10620062505.

It is not an unprimeable number, because it can be changed into a prime (10620062533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1107157 + ... + 1116707.

It is an arithmetic number, because the mean of its divisors is an integer number (379274896).

Almost surely, 210620062532 is an apocalyptic number.

10620062532 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 10620062532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653896256).

10620062532 is an abundant number, since it is smaller than the sum of its proper divisors (16687729980).

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

10620062532 is a wasteful number, since it uses less digits than its factorization.

10620062532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10089 (or 10084 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 10620062532 in words is "ten billion, six hundred twenty million, sixty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 461 603 804 922 1206 1383 1844 2412 2766 4149 5532 8298 9551 16596 19102 28653 30887 38204 57306 61774 85959 92661 114612 123548 171918 185322 277983 343836 370644 555966 639917 1111932 1279834 1919751 2559668 3839502 4403011 5759253 7679004 8806022 11518506 13209033 17612044 23037012 26418066 39627099 52836132 79254198 158508396 295001737 590003474 885005211 1180006948 1770010422 2655015633 3540020844 5310031266 10620062532