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54024467640 = 233511133148279
BaseRepresentation
bin110010010100000110…
…111111010010111000
312011110001120022100220
4302110012333102320
51341120230431030
640452443500040
73621530253363
oct622406772270
9164401508326
1054024467640
1120a03449170
12a578827620
13512c77a220
1428870130da
151612d4ea10
hexc941bf4b8

54024467640 has 128 divisors (see below), whose sum is σ = 190407974400. Its totient is φ = 12089387520.

The previous prime is 54024467621. The next prime is 54024467647. The reversal of 54024467640 is 4676442045.

54024467640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54024467592 and 54024467601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54024467647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1556980 + ... + 1591299.

It is an arithmetic number, because the mean of its divisors is an integer number (1487562300).

Almost surely, 254024467640 is an apocalyptic number.

It is an amenable number.

54024467640 is an abundant number, since it is smaller than the sum of its proper divisors (136383506760).

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

54024467640 is a wasteful number, since it uses less digits than its factorization.

54024467640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148317 (or 3148313 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 54024467640 in words is "fifty-four billion, twenty-four million, four hundred sixty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 3148279 6296558 9444837 12593116 15741395 18889674 25186232 31482790 34631069 37779348 40927627 47224185 62965580 69262138 75558696 81855254 94448370 103893207 122782881 125931160 138524276 163710508 173155345 188896740 204638135 207786414 245565762 277048552 327421016 346310690 377793480 409276270 415572828 450203897 491131524 519466035 613914405 692621380 818552540 831145656 900407794 982263048 1038932070 1227828810 1350611691 1385242760 1637105080 1800815588 2077864140 2251019485 2455657620 2701223382 3601631176 4155728280 4502038970 4911315240 5402446764 6753058455 9004077940 10804893528 13506116910 18008155880 27012233820 54024467640