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54236045040 = 24353116674373
BaseRepresentation
bin110010100000101110…
…000101111011110000
312011222210200112222220
4302200232011323300
51342033411420130
640525442401040
73630006530202
oct624056057360
9164883615886
1054236045040
1121001919421
12a617660180
135164559058
1428a716a772
1516266e4410
hexca0b85ef0

54236045040 has 160 divisors (see below), whose sum is σ = 173699168256. Its totient is φ = 13984803840.

The previous prime is 54236045029. The next prime is 54236045057. The reversal of 54236045040 is 4054063245.

It is a junction number, because it is equal to n+sod(n) for n = 54236044992 and 54236045010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12400294 + ... + 12404666.

Almost surely, 254236045040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54236045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86849584128).

54236045040 is an abundant number, since it is smaller than the sum of its proper divisors (119463123216).

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

54236045040 is a wasteful number, since it uses less digits than its factorization.

54236045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 54236045040 in words is "fifty-four billion, two hundred thirty-six million, forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1667 1860 2480 3334 3720 4373 5001 6668 7440 8335 8746 10002 13119 13336 16670 17492 20004 21865 25005 26238 26672 33340 34984 40008 43730 50010 51677 52476 65595 66680 69968 80016 87460 100020 103354 104952 131190 133360 135563 155031 174920 200040 206708 209904 258385 262380 271126 310062 349840 400080 406689 413416 516770 524760 542252 620124 677815 775155 813378 826832 1033540 1049520 1084504 1240248 1355630 1550310 1626756 2033445 2067080 2169008 2480496 2711260 3100620 3253512 4066890 4134160 5422520 6201240 6507024 7289791 8133780 10845040 12402480 14579582 16267560 21869373 29159164 32535120 36448955 43738746 58318328 72897910 87477492 109346865 116636656 145795820 174954984 218693730 225983521 291591640 349909968 437387460 451967042 583183280 677950563 874774920 903934084 1129917605 1355901126 1749549840 1807868168 2259835210 2711802252 3389752815 3615736336 4519670420 5423604504 6779505630 9039340840 10847209008 13559011260 18078681680 27118022520 54236045040