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522291057152 = 29192414
BaseRepresentation
bin1111001100110101111…
…10010001001000000000
31211221010100202202001212
413212122332101020000
532024123002312102
61035534233545252
752506600510224
oct7463276211000
91757110682055
10522291057152
1119155875a687
1285282275228
133a337389217
141b3c98ca784
15d8bcaa5c52
hex799af91200

522291057152 has 150 divisors (see below), whose sum is σ = 1128911502015. Its totient is φ = 241366855680.

The previous prime is 522291057121. The next prime is 522291057157. The reversal of 522291057152 is 251750192225.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 58998466816 + 463292590336 = 242896^2 + 680656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=511024.

It is a super-2 number, since 2×5222910571522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (522291057157) 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 14 ways as a sum of consecutive naturals, for example, 12738806252 + ... + 12738806292.

Almost surely, 2522291057152 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 522291057152

522291057152 is an abundant number, since it is smaller than the sum of its proper divisors (606620444863).

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

522291057152 is an frugal number, since it uses more digits than its factorization.

522291057152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 41.

The spelling of 522291057152 in words is "five hundred twenty-two billion, two hundred ninety-one million, fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 256 304 328 361 512 608 656 722 779 1216 1312 1444 1558 1681 2432 2624 2888 3116 3362 4864 5248 5776 6232 6724 9728 10496 11552 12464 13448 14801 20992 23104 24928 26896 29602 31939 46208 49856 53792 59204 63878 68921 92416 99712 107584 118408 127756 137842 184832 199424 215168 236816 255512 275684 398848 430336 473632 511024 551368 606841 860672 947264 1022048 1102736 1213682 1309499 1894528 2044096 2205472 2427364 2618998 2825761 3789056 4088192 4410944 4854728 5237996 5651522 7578112 8176384 8821888 9709456 10475992 11303044 16352768 17643776 19418912 20951984 22606088 24880481 35287552 38837824 41903968 45212176 49760962 53689459 77675648 83807936 90424352 99521924 107378918 155351296 167615872 180848704 199043848 214757836 310702592 335231744 361697408 398087696 429515672 670463488 723394816 796175392 859031344 1020099721 1446789632 1592350784 1718062688 2040199442 3184701568 3436125376 4080398884 6369403136 6872250752 8160797768 12738806272 13744501504 16321595536 27489003008 32643191072 65286382144 130572764288 261145528576 522291057152