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54764799746745 = 35113722739517547
BaseRepresentation
bin11000111001110111011000…
…11011110110001010111001
321011220110112001111120022010
430130323230123312022321
524134231302213343440
6312250333544120133
714351424535132224
oct1434735433661271
9234813461446263
1054764799746745
11164a4691818160
126185950766049
1324733b592ba4a
14d748b7d565bb
1564e8589c2580
hex31ceec6f62b9

54764799746745 has 64 divisors (see below), whose sum is σ = 98605450331136. Its totient is φ = 25721180340480.

The previous prime is 54764799746689. The next prime is 54764799746747.

54764799746745 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54764799746745 - 231 = 54762652263097 is a prime.

It is a super-3 number, since 3×547647997467453 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (54764799746747) 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, 18372939 + ... + 21144608.

It is an arithmetic number, because the mean of its divisors is an integer number (1540710161424).

Almost surely, 254764799746745 is an apocalyptic number.

54764799746745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54764799746745 is a deficient number, since it is larger than the sum of its proper divisors (43840650584391).

54764799746745 is a wasteful number, since it uses less digits than its factorization.

54764799746745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39517830.

The product of its digits is 44808422400, while the sum is 84.

The spelling of 54764799746745 in words is "fifty-four trillion, seven hundred sixty-four billion, seven hundred ninety-nine million, seven hundred forty-six thousand, seven hundred forty-five".

Divisors: 1 3 5 11 15 33 37 55 111 165 185 227 407 555 681 1135 1221 2035 2497 3405 6105 7491 8399 12485 25197 37455 41995 92389 125985 277167 461945 1385835 39517547 118552641 197587735 434693017 592763205 1304079051 1462149239 2173465085 4386447717 6520395255 7310746195 8970483169 16083641629 21932238585 26911449507 44852415845 48250924887 80418208145 98675314859 134557247535 241254624435 296025944577 331907877253 493376574295 995723631759 1480129722885 1659539386265 3650986649783 4978618158795 10952959949349 18254933248915 54764799746745