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542316861725352 = 233740911097116869
BaseRepresentation
bin111101101001110111111101…
…1111001100001101010101000
32122010011222121112120221012120
41323103233323321201222220
51032040304413100202402
65201224532113311240
7222142046251660230
oct17323577371415250
92563158545527176
10542316861725352
111478873202aa82a
12509a8783865520
131a37b35078c89c
1497cc3c1ad0cc0
1542a6d8d2683bc
hex1ed3bfbe61aa8

542316861725352 has 128 divisors (see below), whose sum is σ = 1554666017760000. Its totient is φ = 154429431146496.

The previous prime is 542316861725347. The next prime is 542316861725381. The reversal of 542316861725352 is 253527168613245.

It is a super-2 number, since 2×5423168617253522 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72643174 + ... + 79760042.

It is an arithmetic number, because the mean of its divisors is an integer number (12145828263750).

Almost surely, 2542316861725352 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 542316861725352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777333008880000).

542316861725352 is an abundant number, since it is smaller than the sum of its proper divisors (1012349156034648).

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

542316861725352 is a wasteful number, since it uses less digits than its factorization.

542316861725352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7118403 (or 7118399 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 60.

The spelling of 542316861725352 in words is "five hundred forty-two trillion, three hundred sixteen billion, eight hundred sixty-one million, seven hundred twenty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 409 818 1109 1227 1636 2218 2454 2863 3272 3327 4436 4908 5726 6654 7763 8589 8872 9816 11452 13308 15526 17178 22904 23289 26616 31052 34356 46578 62104 68712 93156 186312 453581 907162 1360743 1814324 2721486 3175067 3628648 5442972 6350134 7116869 9525201 10885944 12700268 14233738 19050402 21350607 25400536 28467476 38100804 42701214 49818083 56934952 76201608 85402428 99636166 149454249 170804856 199272332 298908498 398544664 597816996 1195633992 2910799421 5821598842 7892607721 8732398263 11643197684 15785215442 17464796526 20375595947 23286395368 23677823163 31570430884 34929593052 40751191894 47355646326 55248254047 61126787841 63140861768 69859186104 81502383788 94711292652 110496508094 122253575682 163004767576 165744762141 189422585304 220993016188 244507151364 331489524282 441986032376 489014302728 662979048564 1325958097128 3228076557889 6456153115778 9684229673667 12912306231556 19368459347334 22596535905223 25824612463112 38736918694668 45193071810446 67789607715669 77473837389336 90386143620892 135579215431338 180772287241784 271158430862676 542316861725352