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10457332452 = 2232725928193
BaseRepresentation
bin10011011110100111…
…00011101011100100
3222222210022112022100
421233103203223210
5132404034114302
64445400532100
7520066600500
oct115723435344
928883275270
1010457332452
114486989716
12203a181030
13ca86837a8
14712bad300
154130e8d1c
hex26f4e3ae4

10457332452 has 54 divisors (see below), whose sum is σ = 30749542278. Its totient is φ = 2987808768.

The previous prime is 10457332409. The next prime is 10457332469. The reversal of 10457332452 is 25423375401.

10457332452 is a `hidden beast` number, since 1 + 0 + 4 + 573 + 32 + 4 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7112560896 + 3344771556 = 84336^2 + 57834^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2962333 + ... + 2965860.

Almost surely, 210457332452 is an apocalyptic number.

10457332452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10457332452 is an abundant number, since it is smaller than the sum of its proper divisors (20292209826).

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

10457332452 is a wasteful number, since it uses less digits than its factorization.

10457332452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928217 (or 5928205 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 10457332452 in words is "ten billion, four hundred fifty-seven million, three hundred thirty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 5928193 11856386 17784579 23712772 35569158 41497351 53353737 71138316 82994702 106707474 124492053 165989404 213414948 248984106 290481457 373476159 497968212 580962914 746952318 871444371 1161925828 1493904636 1742888742 2614333113 3485777484 5228666226 10457332452