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542252442336 = 25311826962099
BaseRepresentation
bin1111110010000001100…
…00111010001011100000
31220211122111122011202020
413321000300322023200
532341013111123321
61053035103421440
754114343465413
oct7710060721340
91824574564666
10542252442336
11199a71404830
12891132b4880
133c198a63947
141c3609ddb7a
15e18a2454c6
hex7e40c3a2e0

542252442336 has 96 divisors (see below), whose sum is σ = 1553026608000. Its totient is φ = 164296404480.

The previous prime is 542252442311. The next prime is 542252442337. The reversal of 542252442336 is 633244252245.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5422524423362 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542252442337) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8701015 + ... + 8763113.

It is an arithmetic number, because the mean of its divisors is an integer number (16177360500).

Almost surely, 2542252442336 is an apocalyptic number.

It is an amenable number.

542252442336 is an abundant number, since it is smaller than the sum of its proper divisors (1010774165664).

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

542252442336 is a wasteful number, since it uses less digits than its factorization.

542252442336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70392 (or 70384 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 42.

The spelling of 542252442336 in words is "five hundred forty-two billion, two hundred fifty-two million, four hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 8269 16538 24807 33076 49614 62099 66152 90959 99228 124198 132304 181918 186297 198456 248396 264608 272877 363836 372594 396912 496792 545754 683089 727672 745188 793824 993584 1091508 1366178 1455344 1490376 1987168 2049267 2183016 2732356 2910688 2980752 4098534 4366032 5464712 5961504 8197068 8732064 10929424 16394136 21858848 32788272 65576544 513496631 1026993262 1540489893 2053986524 3080979786 4107973048 5648462941 6161959572 8215946096 11296925882 12323919144 16431892192 16945388823 22593851764 24647838288 33890777646 45187703528 49295676576 67781555292 90375407056 135563110584 180750814112 271126221168 542252442336