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542731957720 = 2351923273111369
BaseRepresentation
bin1111110010111010101…
…10000111010111011000
31220212212220221002012021
413321131112013113120
532343003340121340
61053154433224224
754132255344431
oct7713526072730
91825786832167
10542731957720
1119a19804a837
1289227a02074
133c2441c5b64
141c3a8582488
15e1b73b3e4a
hex7e5d5875d8

542731957720 has 128 divisors (see below), whose sum is σ = 1341914688000. Its totient is φ = 196635479040.

The previous prime is 542731957687. The next prime is 542731957723. The reversal of 542731957720 is 27759137245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542731957723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47732196 + ... + 47743564.

It is an arithmetic number, because the mean of its divisors is an integer number (10483708500).

Almost surely, 2542731957720 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 542731957720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670957344000).

542731957720 is an abundant number, since it is smaller than the sum of its proper divisors (799182730280).

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

542731957720 is a wasteful number, since it uses less digits than its factorization.

542731957720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14153 (or 14149 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 52.

The spelling of 542731957720 in words is "five hundred forty-two billion, seven hundred thirty-one million, nine hundred fifty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 760 874 920 1748 2185 2731 3496 4370 5462 8740 10924 11369 13655 17480 21848 22738 27310 45476 51889 54620 56845 62813 90952 103778 109240 113690 125626 207556 216011 227380 251252 259445 261487 314065 415112 432022 454760 502504 518890 522974 628130 864044 1037780 1045948 1080055 1193447 1256260 1307435 1728088 2075560 2091896 2160110 2386894 2512520 2614870 4320220 4773788 4968253 5229740 5967235 8640440 9547576 9936506 10459480 11934470 19873012 23868940 24841265 31048739 39746024 47737880 49682530 62097478 99365060 124194956 155243695 198730120 248389912 310487390 589926041 620974780 714120997 1179852082 1241949560 1428241994 2359704164 2856483988 2949630205 3570604985 4719408328 5712967976 5899260410 7141209970 11798520820 13568298943 14282419940 23597041640 27136597886 28564839880 54273195772 67841494715 108546391544 135682989430 271365978860 542731957720