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54055511555045 = 57211133149770977
BaseRepresentation
bin11000100101001110001111…
…00100000111101111100101
321002101122201112122010212012
430102213013210013233211
524041121141424230140
6310544431552404005
714246244653025500
oct1422470744075745
9232348645563765
1054055511555045
11162508a5059680
1260903a1546605
13242154a0b96b0
14d4c42d25c137
1563b1942b3265
hex3129c7907be5

54055511555045 has 96 divisors (see below), whose sum is σ = 91508521982976. Its totient is φ = 30101486284800.

The previous prime is 54055511555039. The next prime is 54055511555047.

54055511555045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54055511555045 - 212 = 54055511550949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54055511554984 and 54055511555002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54055511555047) 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, 23799404 + ... + 25971573.

It is an arithmetic number, because the mean of its divisors is an integer number (953213770656).

Almost surely, 254055511555045 is an apocalyptic number.

54055511555045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54055511555045 is a deficient number, since it is larger than the sum of its proper divisors (37453010427931).

54055511555045 is a wasteful number, since it uses less digits than its factorization.

54055511555045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49771051 (or 49771044 counting only the distinct ones).

The product of its (nonzero) digits is 6250000, while the sum is 50.

The spelling of 54055511555045 in words is "fifty-four trillion, fifty-five billion, five hundred eleven million, five hundred fifty-five thousand, forty-five".

Divisors: 1 5 7 11 13 31 35 49 55 65 77 91 143 155 217 245 341 385 403 455 539 637 715 1001 1085 1519 1705 2015 2387 2695 2821 3185 4433 5005 7007 7595 11935 14105 16709 19747 22165 31031 35035 83545 98735 155155 217217 1086085 49770977 248854885 348396839 547480747 647022701 1542900287 1741984195 2438777873 2737403735 3235113505 3832365229 4529158907 7117249711 7714501435 10800302009 12193889365 16971903157 19161826145 20057703731 22645794535 26826556603 31704112349 35586248555 49820747977 54001510045 75602114063 84859515785 100288518655 118803322099 134132783015 140403926117 158520561745 220634741041 249103739885 348745235839 378010570315 594016610495 702019630585 831623254693 982827482819 1103173705205 1544443187287 1743726179195 4158116273465 4914137414095 7722215936435 10811102311009 54055511555045