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54648688684645 = 51121223380319421
BaseRepresentation
bin11000110110011111000111…
…01011010010111001100101
321011111100211002001110200201
430123033203223102321211
524130331003300402040
6312121132213110501
714340144310316206
oct1433174353227145
9234440732043621
1054648688684645
111645a41908a700
126167347328431
13246547034b483
14d6d0212d35ad
1564b810154a9a
hex31b3e3ad2e65

54648688684645 has 48 divisors (see below), whose sum is σ = 72163695816576. Its totient is φ = 39699516771200.

The previous prime is 54648688684643. The next prime is 54648688684747.

54648688684645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54648688684645 - 21 = 54648688684643 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54648688684643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2813887035 + ... + 2813906455.

It is an arithmetic number, because the mean of its divisors is an integer number (1503410329512).

Almost surely, 254648688684645 is an apocalyptic number.

54648688684645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54648688684645 is a deficient number, since it is larger than the sum of its proper divisors (17515007131931).

54648688684645 is a wasteful number, since it uses less digits than its factorization.

54648688684645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24474 (or 24463 counting only the distinct ones).

The product of its digits is 33973862400, while the sum is 82.

The spelling of 54648688684645 in words is "fifty-four trillion, six hundred forty-eight billion, six hundred eighty-eight million, six hundred eighty-four thousand, six hundred forty-five".

Divisors: 1 5 11 55 121 605 1223 3803 6115 13453 19015 19421 41833 67265 97105 147983 209165 213631 460163 739915 1068155 2300815 2349941 4651069 11749705 23255345 23751883 51161759 73858063 118759415 255808795 261270713 369290315 562779349 812438693 1306353565 2813896745 2873977843 4062193465 8936825623 14369889215 44684128115 90328411049 451642055245 993612521539 4968062607695 10929737736929 54648688684645