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542321428768 = 25710922797849
BaseRepresentation
bin1111110010001001110…
…00000100100100100000
31220211211022110001100021
413321010320010210200
532341133241210033
61053050010203224
754116142041140
oct7710470044440
91824738401307
10542321428768
11199aa7343309
1289132423514
133c1aa139012
141c369c3a920
15e191320b2d
hex7e44e04920

542321428768 has 96 divisors (see below), whose sum is σ = 1236855312000. Its totient is φ = 229274302464.

The previous prime is 542321428751. The next prime is 542321428777. The reversal of 542321428768 is 867824123245.

It is a super-2 number, since 2×5423214287682 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5493508 + ... + 5591356.

It is an arithmetic number, because the mean of its divisors is an integer number (12883909500).

Almost surely, 2542321428768 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 542321428768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618427656000).

542321428768 is an abundant number, since it is smaller than the sum of its proper divisors (694533883232).

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

542321428768 is a wasteful number, since it uses less digits than its factorization.

542321428768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98202 (or 98194 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 52.

The spelling of 542321428768 in words is "five hundred forty-two billion, three hundred twenty-one million, four hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 227 436 454 763 872 908 1526 1589 1744 1816 3052 3178 3488 3632 6104 6356 7264 12208 12712 24416 24743 25424 49486 50848 97849 98972 173201 195698 197944 346402 391396 395888 684943 692804 782792 791776 1369886 1385608 1565584 2739772 2771216 3131168 5479544 5542432 10665541 10959088 21331082 21918176 22211723 42662164 44423446 74658787 85324328 88846892 149317574 155482061 170648656 177693784 298635148 310964122 341297312 355387568 597270296 621928244 710775136 1194540592 1243856488 2389081184 2421077807 2487712976 4842155614 4975425952 9684311228 16947544649 19368622456 33895089298 38737244912 67790178596 77474489824 135580357192 271160714384 542321428768