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54016790256 = 243211132623193
BaseRepresentation
bin110010010011101001…
…101100111011110000
312011102112010020222100
4302103221230323300
51341111244242011
640452011140400
73621405066342
oct622351547360
9164375106870
1054016790256
11209aa085020
12a576144700
13512acbc8b0
142885db5292
151612334d56
hexc93a6cef0

54016790256 has 120 divisors (see below), whose sum is σ = 177600726576. Its totient is φ = 15109585920.

The previous prime is 54016790237. The next prime is 54016790279. The reversal of 54016790256 is 65209761045.

54016790256 is a `hidden beast` number, since 540 + 16 + 7 + 90 + 2 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1291005 + ... + 1332188.

Almost surely, 254016790256 is an apocalyptic number.

It is an amenable number.

54016790256 is an abundant number, since it is smaller than the sum of its proper divisors (123583936320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54016790256 is a wasteful number, since it uses less digits than its factorization.

54016790256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623231 (or 2623222 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 54016790256 in words is "fifty-four billion, sixteen million, seven hundred ninety thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 2623193 5246386 7869579 10492772 15739158 20985544 23608737 28855123 31478316 34101509 41971088 47217474 57710246 62956632 68203018 86565369 94434948 102304527 115420492 125913264 136406036 173130738 188869896 204609054 230840984 259696107 272812072 306913581 346261476 375116599 377739792 409218108 461681968 519392214 545624144 613827162 692522952 750233198 818436216 1038784428 1125349797 1227654324 1385045904 1500466396 1636872432 2077568856 2250699594 2455308648 3000932792 3376049391 4155137712 4501399188 4910617296 6001865584 6752098782 9002798376 13504197564 18005596752 27008395128 54016790256