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45200132252 = 22112375347623
BaseRepresentation
bin101010000110001000…
…110100100010011100
311022200002000121220022
4222012020310202130
51220032213213002
632433055411312
73160046533142
oct520610644234
9138602017808
1045200132252
1118195329400
128915523b38
1343545136b2
14228b087592
1512982c1ba2
hexa8623489c

45200132252 has 72 divisors (see below), whose sum is σ = 90981461088. Its totient is φ = 19612644480.

The previous prime is 45200132239. The next prime is 45200132297. The reversal of 45200132252 is 25223100254.

It is a congruent number.

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, 925313 + ... + 972935.

It is an arithmetic number, because the mean of its divisors is an integer number (1263631404).

Almost surely, 245200132252 is an apocalyptic number.

It is an amenable number.

45200132252 is an abundant number, since it is smaller than the sum of its proper divisors (45781328836).

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

45200132252 is a wasteful number, since it uses less digits than its factorization.

45200132252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47739 (or 47726 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 45200132252 in words is "forty-five billion, two hundred million, one hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 11 22 37 44 53 74 106 121 148 212 242 407 484 583 814 1166 1628 1961 2332 3922 4477 6413 7844 8954 12826 17908 21571 25652 43142 47623 86284 95246 190492 237281 474562 523853 949124 1047706 1762051 2095412 2524019 3524102 5048038 5762383 7048204 10096076 11524766 19382561 23049532 27764209 38765122 55528418 77530244 93388703 111056836 186777406 213208171 305406299 373554812 426416342 610812598 852832684 1027275733 1221625196 2054551466 4109102932 11300033063 22600066126 45200132252