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5410485135 = 3251147313743
BaseRepresentation
bin1010000100111110…
…10111001110001111
3111222001210010022100
411002133113032033
542040041011020
62252513250143
7251035236066
oct50237271617
914861703270
105410485135
112327094620
12106bb63953
13682c017c3
143947d51dd
15219edba90
hex1427d738f

5410485135 has 96 divisors (see below), whose sum is σ = 10495899648. Its totient is φ = 2555804160.

The previous prime is 5410485133. The next prime is 5410485139. The reversal of 5410485135 is 5315840145.

5410485135 is a `hidden beast` number, since 5 + 41 + 0 + 485 + 135 = 666.

It is a Cunningham number, because it is equal to 735562-1.

It is not a de Polignac number, because 5410485135 - 21 = 5410485133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5410485135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5410485133) 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 95 ways as a sum of consecutive naturals, for example, 7281574 + ... + 7282316.

It is an arithmetic number, because the mean of its divisors is an integer number (109332288).

Almost surely, 25410485135 is an apocalyptic number.

5410485135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5410485135 is a deficient number, since it is larger than the sum of its proper divisors (5085414513).

5410485135 is a wasteful number, since it uses less digits than its factorization.

5410485135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5410485135 is about 73555.9999932025. Note that the first 5 decimals coincide. The cubic root of 5410485135 is about 1755.5454169590.

It can be divided in two parts, 5410 and 485135, that added together give a triangular number (490545 = T990).

The spelling of 5410485135 in words is "five billion, four hundred ten million, four hundred eighty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 47 55 99 141 165 235 313 423 495 517 705 743 939 1551 1565 2115 2229 2585 2817 3443 3715 4653 4695 6687 7755 8173 10329 11145 14085 14711 17215 23265 24519 30987 33435 34921 40865 44133 51645 73555 73557 104763 122595 132399 154935 161821 174605 220665 232559 314289 367785 384131 485463 523815 661995 697677 809105 1152393 1162795 1456389 1571445 1920655 2093031 2427315 2558149 3457179 3488385 5761965 7281945 7674447 10465155 10930273 12790745 17285895 23023341 32790819 38372235 54651365 98372457 115116705 120233003 163954095 360699009 491862285 601165015 1082097027 1803495045 5410485135