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252753372399 = 311293713752103
BaseRepresentation
bin1110101101100101000…
…1100110010011101111
3220011101211001122222210
43223121101212103233
513120114330404044
6312040245541503
724155315134353
oct3533121462357
9804354048883
10252753372399
1198212764730
1240b9a714893
131aab0641a28
14c33a379463
1568948e31b9
hex3ad94664ef

252753372399 has 64 divisors (see below), whose sum is σ = 393456061440. Its totient is φ = 142851179520.

The previous prime is 252753372397. The next prime is 252753372401. The reversal of 252753372399 is 993273357252.

It is an interprime number because it is at equal distance from previous prime (252753372397) and next prime (252753372401).

It is not a de Polignac number, because 252753372399 - 21 = 252753372397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252753372397) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4824982 + ... + 4877084.

It is an arithmetic number, because the mean of its divisors is an integer number (6147750960).

Almost surely, 2252753372399 is an apocalyptic number.

252753372399 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

252753372399 is a deficient number, since it is larger than the sum of its proper divisors (140702689041).

252753372399 is a wasteful number, since it uses less digits than its factorization.

252753372399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52320.

The product of its digits is 21432600, while the sum is 57.

The spelling of 252753372399 in words is "two hundred fifty-two billion, seven hundred fifty-three million, three hundred seventy-two thousand, three hundred ninety-nine".

Divisors: 1 3 11 29 33 37 87 111 137 319 407 411 957 1073 1221 1507 3219 3973 4521 5069 11803 11919 15207 35409 43703 52103 55759 131109 147001 156309 167277 441003 573133 1510987 1617011 1719399 1927811 4532961 4851033 5783433 7138111 16620857 21205921 21414333 49862571 55906519 63617763 78519221 167719557 207005219 235557663 264110107 614971709 621015657 792330321 1844915127 2277057409 2905211177 6831172227 7659193103 8715633531 22977579309 84251124133 252753372399