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542265121024 = 2811437956687
BaseRepresentation
bin1111110010000011000…
…01010001100100000000
31220211200101111022122021
413321001201101210000
532341024332333044
61053040235251224
754114556322464
oct7710141214400
91824611438567
10542265121024
11199a78584490
12891175a9b14
133c19b582823
141c3625804a4
15e18b3ebe84
hex7e41851900

542265121024 has 144 divisors (see below), whose sum is σ = 1223590072320. Its totient is φ = 237700270080.

The previous prime is 542265120979. The next prime is 542265121093. The reversal of 542265121024 is 420121562245.

It is a super-2 number, since 2×5422651210242 (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, 9537609 + ... + 9594295.

It is an arithmetic number, because the mean of its divisors is an integer number (8497153280).

Almost surely, 2542265121024 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 542265121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611795036160).

542265121024 is an abundant number, since it is smaller than the sum of its proper divisors (681324951296).

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

542265121024 is a wasteful number, since it uses less digits than its factorization.

542265121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56836 (or 56822 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 542265121024 its reverse (420121562245), we get a palindrome (962386683269).

The spelling of 542265121024 in words is "five hundred forty-two billion, two hundred sixty-five million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 79 86 88 128 158 172 176 256 316 344 352 473 632 688 704 869 946 1264 1376 1408 1738 1892 2528 2752 2816 3397 3476 3784 5056 5504 6794 6952 7568 10112 11008 13588 13904 15136 20224 27176 27808 30272 37367 54352 55616 56687 60544 74734 108704 111232 113374 121088 149468 217408 222464 226748 298936 434816 453496 597872 623557 869632 906992 1195744 1247114 1813984 2391488 2437541 2494228 3627968 4478273 4782976 4875082 4988456 7255936 8956546 9565952 9750164 9976912 14511872 17913092 19500328 19953824 26812951 35826184 39000656 39907648 49261003 53625902 71652368 78001312 79815296 98522006 107251804 143304736 156002624 159630592 192565739 197044012 214503608 286609472 312005248 385131478 394088024 429007216 573218944 624010496 770262956 788176048 858014432 1146437888 1540525912 1576352096 1716028864 2118223129 3081051824 3152704192 3432057728 4236446258 6162103648 6305408384 6864115456 8472892516 12324207296 12610816768 16945785032 24648414592 33891570064 49296829184 67783140128 135566280256 271132560512 542265121024