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82752000348 = 22313949611511
BaseRepresentation
bin100110100010001100…
…1110101000101011100
321220121010111011202210
41031010121311011130
52323434003002343
6102003222320420
75656446253143
oct1150431650534
9256533434683
1082752000348
113210538a736
1214055589110
137a5a3272a4
14401046675a
152244dc6333
hex134467515c

82752000348 has 24 divisors (see below), whose sum is σ = 194477127040. Its totient is φ = 27385553520.

The previous prime is 82752000347. The next prime is 82752000413. The reversal of 82752000348 is 84300025728.

It is a super-2 number, since 2×827520003482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82752000347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24804088 + ... + 24807423.

Almost surely, 282752000348 is an apocalyptic number.

It is an amenable number.

82752000348 is an abundant number, since it is smaller than the sum of its proper divisors (111725126692).

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

82752000348 is a wasteful number, since it uses less digits than its factorization.

82752000348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49611657 (or 49611655 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 82752000348 in words is "eighty-two billion, seven hundred fifty-two million, three hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 139 278 417 556 834 1668 49611511 99223022 148834533 198446044 297669066 595338132 6896000029 13792000058 20688000087 27584000116 41376000174 82752000348