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10503145752 = 2331182348341
BaseRepresentation
bin10011100100000100…
…10100100100011000
31000002222112002100020
421302002110210120
5133002301131002
64454114510440
7521164160121
oct116202244430
930088462306
1010503145752
1144aa82a950
122051595420
13cb5004358
14718cd7048
154171482bc
hex272094918

10503145752 has 64 divisors (see below), whose sum is σ = 28680341760. Its totient is φ = 3178838400.

The previous prime is 10503145727. The next prime is 10503145769. The reversal of 10503145752 is 25754130501.

It is a super-2 number, since 2×105031457522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193102 + ... + 241442.

It is an arithmetic number, because the mean of its divisors is an integer number (448130340).

Almost surely, 210503145752 is an apocalyptic number.

10503145752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10503145752 is an abundant number, since it is smaller than the sum of its proper divisors (18177196008).

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

10503145752 is a wasteful number, since it uses less digits than its factorization.

10503145752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49184 (or 49180 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The spelling of 10503145752 in words is "ten billion, five hundred three million, one hundred forty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 823 1646 2469 3292 4938 6584 9053 9876 18106 19752 27159 36212 48341 54318 72424 96682 108636 145023 193364 217272 290046 386728 531751 580092 1063502 1160184 1595253 2127004 3190506 4254008 6381012 12762024 39784643 79569286 119353929 159138572 238707858 318277144 437631073 477415716 875262146 954831432 1312893219 1750524292 2625786438 3501048584 5251572876 10503145752