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54705506133 = 31747532231931
BaseRepresentation
bin110010111100101100…
…111100011101010101
312020012112001122112210
4302330230330131111
51344014102144013
641044212504033
73644440062345
oct627454743525
9166175048483
1054705506133
11212229174a3
12a72891b019
13520a8aaa95
14290d652d25
151652a28cc3
hexcbcb3c755

54705506133 has 64 divisors (see below), whose sum is σ = 80764895232. Its totient is φ = 32796042240.

The previous prime is 54705506129. The next prime is 54705506147. The reversal of 54705506133 is 33160550745.

It is not a de Polignac number, because 54705506133 - 22 = 54705506129 is a prime.

It is a super-2 number, since 2×547055061332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54705506091 and 54705506100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54705506123) 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, 28329178 + ... + 28331108.

It is an arithmetic number, because the mean of its divisors is an integer number (1261951488).

Almost surely, 254705506133 is an apocalyptic number.

54705506133 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

54705506133 is a deficient number, since it is larger than the sum of its proper divisors (26059389099).

54705506133 is a wasteful number, since it uses less digits than its factorization.

54705506133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274.

The product of its (nonzero) digits is 189000, while the sum is 39.

The spelling of 54705506133 in words is "fifty-four billion, seven hundred five million, five hundred six thousand, one hundred thirty-three".

Divisors: 1 3 17 47 51 53 141 159 223 669 799 901 1931 2397 2491 2703 3791 5793 7473 10481 11373 11819 31443 32827 35457 42347 90757 98481 102343 127041 178177 200923 272271 307029 430613 534531 555493 602769 1291839 1542869 1666479 1739831 4628607 4810121 5219493 7320421 9443381 14430363 20238811 21961263 22822489 28330143 60716433 68467467 81772057 245316171 344059787 387982313 1032179361 1072656983 1163946939 3217970949 18235168711 54705506133