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54518966941 = 232374121657
BaseRepresentation
bin110010110001100101…
…010110101010011101
312012201112001110212211
4302301211112222131
51343123323420231
641013510400421
73640013400325
oct626145265235
9165645043784
1054518966941
112113759887a
12a696360111
1351ab05766a
1428d2976285
15164147ceb1
hexcb1956a9d

54518966941 has 36 divisors (see below), whose sum is σ = 60031408276. Its totient is φ = 49471741440.

The previous prime is 54518966917. The next prime is 54518966963. The reversal of 54518966941 is 14966981545.

It can be written as a sum of positive squares in 6 ways, for example, as 9451922841 + 45067044100 = 97221^2 + 212290^2 .

It is not a de Polignac number, because 54518966941 - 211 = 54518964893 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 (54518966441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32901385 + ... + 32903041.

Almost surely, 254518966941 is an apocalyptic number.

It is an amenable number.

54518966941 is a deficient number, since it is larger than the sum of its proper divisors (5512441335).

54518966941 is a wasteful number, since it uses less digits than its factorization.

54518966941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1758 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 58.

The spelling of 54518966941 in words is "fifty-four billion, five hundred eighteen million, nine hundred sixty-six thousand, nine hundred forty-one".

Divisors: 1 23 37 41 529 851 943 1517 1657 1681 19573 21689 34891 38111 38663 61309 62197 67937 802493 876553 889249 1410107 1430531 1562551 2513669 2785417 32432461 32902213 35938673 57814387 64064591 103060429 1329730901 1473485593 2370389867 54518966941