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54307744770345 = 35112173747570147
BaseRepresentation
bin11000101100100100000011…
…10101011110100100101001
321010021202210002221002110020
430112102001311132210221
524104234230130122340
6311300344501511053
714303414354004153
oct1426220165364451
9233252702832406
1054307744770345
1116338870139600
126111255a12489
13243c276a39551
14d5a71a4b5ad3
15642a081aa9d0
hex316481d5e929

54307744770345 has 96 divisors (see below), whose sum is σ = 103861236092544. Its totient is φ = 24112355604480.

The previous prime is 54307744770319. The next prime is 54307744770347.

54307744770345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54307744770345 - 220 = 54307743721769 is a prime.

It is a super-2 number, since 2×543077447703452 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54307744770347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22643439 + ... + 24926708.

It is an arithmetic number, because the mean of its divisors is an integer number (1081887875964).

Almost surely, 254307744770345 is an apocalyptic number.

54307744770345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54307744770345 is a deficient number, since it is larger than the sum of its proper divisors (49553491322199).

54307744770345 is a wasteful number, since it uses less digits than its factorization.

54307744770345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47570231 (or 47570220 counting only the distinct ones).

The product of its (nonzero) digits is 138297600, while the sum is 60.

The spelling of 54307744770345 in words is "fifty-four trillion, three hundred seven billion, seven hundred forty-four million, seven hundred seventy thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 17 33 37 51 55 85 111 121 165 185 187 255 363 407 555 561 605 629 935 1221 1815 1887 2035 2057 2805 3145 4477 6105 6171 6919 9435 10285 13431 20757 22385 30855 34595 67155 76109 103785 228327 380545 1141635 47570147 142710441 237850735 523271617 713552205 808692499 1569814851 1760095439 2426077497 2616358085 4043462495 5280286317 5755987787 7849074255 8800477195 8895617489 12130387485 17267963361 19361049829 26401431585 26686852467 28779938935 29921622463 44478087445 58083149487 86339816805 89764867389 96805249145 97851792379 133434262335 149608112315 212971548119 290415747435 293555377137 329137847093 448824336945 489258961895 638914644357 987413541279 1064857740595 1467776885685 1645689235465 3194573221785 3620516318023 4937067706395 10861548954069 18102581590115 54307744770345