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132053778824 = 23112229595717
BaseRepresentation
bin111101011111100000…
…1001100000110001000
3110121212001111000112012
41322333001030012020
54130421231410244
6140355322435052
712353262412502
oct1727701140610
9417761430465
10132053778824
1151004a08600
1221714662a88
13c5b652b286
14656a162d72
15367d2ea89e
hex1ebf04c188

132053778824 has 48 divisors (see below), whose sum is σ = 273345204300. Its totient is φ = 59762229120.

The previous prime is 132053778809. The next prime is 132053778833. The reversal of 132053778824 is 428877350231.

It can be written as a sum of positive squares in 2 ways, for example, as 93931216324 + 38122562500 = 306482^2 + 195250^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 76187 + ... + 519530.

Almost surely, 2132053778824 is an apocalyptic number.

It is an amenable number.

132053778824 is an abundant number, since it is smaller than the sum of its proper divisors (141291425476).

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

132053778824 is a wasteful number, since it uses less digits than its factorization.

132053778824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595974 (or 595959 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 132053778824 in words is "one hundred thirty-two billion, fifty-three million, seven hundred seventy-eight thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 229 242 458 484 916 968 1832 2519 5038 10076 20152 27709 55418 110836 221672 595717 1191434 2382868 4765736 6552887 13105774 26211548 52423096 72081757 136419193 144163514 272838386 288327028 545676772 576654056 1091353544 1500611123 3001222246 6002444492 12004888984 16506722353 33013444706 66026889412 132053778824