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348042576553 = 72916331733181
BaseRepresentation
bin1010001000010001111…
…01000100001010101001
31020021100200111210012021
411010020331010022221
521200242344422203
6423515532144441
734100551042240
oct5041075041251
91207320453167
10348042576553
11124670a63121
1257552908121
1326a881b07b9
1412bb98db957
1590c02a15bd
hex5108f442a9

348042576553 has 32 divisors (see below), whose sum is σ = 415321839360. Its totient is φ = 285356494080.

The previous prime is 348042576527. The next prime is 348042576577. The reversal of 348042576553 is 355675240843.

It is not a de Polignac number, because 348042576553 - 25 = 348042576521 is a prime.

It is a super-2 number, since 2×3480425765532 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 348042576553.

It is not an unprimeable number, because it can be changed into a prime (348042576253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10472623 + ... + 10505803.

It is an arithmetic number, because the mean of its divisors is an integer number (12978807480).

Almost surely, 2348042576553 is an apocalyptic number.

It is an amenable number.

348042576553 is a deficient number, since it is larger than the sum of its proper divisors (67279262807).

348042576553 is a wasteful number, since it uses less digits than its factorization.

348042576553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33697.

The product of its (nonzero) digits is 12096000, while the sum is 52.

The spelling of 348042576553 in words is "three hundred forty-eight billion, forty-two million, five hundred seventy-six thousand, five hundred fifty-three".

Divisors: 1 7 29 163 203 317 1141 2219 4727 9193 33089 33181 51671 64351 232267 361697 962249 1498459 5408503 6735743 10489213 10518377 37859521 73628639 156846587 305032933 1097926109 1714495451 2135230531 12001468157 49720368079 348042576553