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54657888875645 = 511192319312779227
BaseRepresentation
bin11000110110110000010000…
…00011001111010001111101
321011112020120020211121010112
430123120020003033101331
524131003324023010040
6312125253145115405
714340621303541406
oct1433301003172175
9234466506747115
1054657888875645
111646330a384340
126169094488b65
1324662a8421983
14d6d65513a9ad
1564bb9cbc7365
hex31b6080cf47d

54657888875645 has 128 divisors (see below), whose sum is σ = 79070394101760. Its totient is φ = 35803091681280.

The previous prime is 54657888875609. The next prime is 54657888875701.

54657888875645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54657888875645 - 212 = 54657888871549 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5923685522 + ... + 5923694748.

It is an arithmetic number, because the mean of its divisors is an integer number (617737453920).

Almost surely, 254657888875645 is an apocalyptic number.

54657888875645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54657888875645 is a deficient number, since it is larger than the sum of its proper divisors (24412505226115).

54657888875645 is a wasteful number, since it uses less digits than its factorization.

54657888875645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10755.

The product of its digits is 72253440000, while the sum is 86.

The spelling of 54657888875645 in words is "fifty-four trillion, six hundred fifty-seven billion, eight hundred eighty-eight million, eight hundred seventy-five thousand, six hundred forty-five".

Divisors: 1 5 11 19 23 55 95 115 193 209 253 437 965 1045 1265 1277 2123 2185 3667 4439 4807 6385 9227 10615 14047 18335 22195 24035 24263 29371 40337 46135 48829 70235 84341 101497 121315 146855 175313 201685 212221 244145 246461 266893 323081 421705 507485 558049 876565 927751 1061105 1232305 1334465 1615405 1780811 1928443 2334431 2711071 2790245 4032199 4638755 4682759 5668603 6138539 8904055 9642215 11672155 11782879 13555355 19588921 20160995 23413795 28343015 30692695 33835409 40958653 44354189 51510349 58914395 62354633 97944605 107703457 129611669 169177045 204793265 221770945 223874701 257551745 271006217 311773165 372189499 450545183 538517285 648058345 778214407 1119373505 1184738027 1355031085 1860947495 2252725915 2274095647 2462621711 2981068387 3891072035 5149118123 5923690135 8560358477 11370478235 12313108555 14905341935 25015052117 25745590615 42801792385 43207817293 52304199881 56640299353 125075260585 216039086465 261520999405 283201496765 475285990223 575346198691 993779797739 2376429951115 2876730993455 4968898988695 10931577775129 54657888875645