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534787989264 = 243214924092
BaseRepresentation
bin1111100100000111101…
…10010001111100010000
31220010101021221200010100
413302003312101330100
532230221211124024
61045402254332400
753431354622514
oct7620366217420
91803337850110
10534787989264
11196890972751
128778b4ba100
133b5794705c9
141bc53502144
15dd9ec857c9
hex7c83d91f10

534787989264 has 135 divisors (see below), whose sum is σ = 1510468801023. Its totient is φ = 176633344512.

The previous prime is 534787989251. The next prime is 534787989319. The reversal of 534787989264 is 462989787435.

The square root of 534787989264 is 731292.

It is a perfect power (a square), and thus also a powerful number.

534787989264 is a `hidden beast` number, since 5 + 3 + 478 + 7 + 9 + 8 + 92 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1420686864 + 533367302400 = 37692^2 + 730320^2 .

It is a super-2 number, since 2×5347879892642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 534787989192 and 534787989201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1307549892 + ... + 1307550300.

Almost surely, 2534787989264 is an apocalyptic number.

534787989264 is the 731292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534787989264

534787989264 is an abundant number, since it is smaller than the sum of its proper divisors (975680811759).

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

534787989264 is an equidigital number, since it uses as much as digits as its factorization.

534787989264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 563 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 534787989264 in words is "five hundred thirty-four billion, seven hundred eighty-seven million, nine hundred eighty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 409 447 596 818 894 1192 1227 1341 1636 1788 2384 2454 2682 3272 3576 3681 4908 5364 6544 7152 7362 9816 10728 14724 19632 21456 22201 29448 44402 58896 60941 66603 88804 121882 133206 167281 177608 182823 199809 243764 266412 334562 355216 365646 399618 487528 501843 532824 548469 669124 731292 799236 975056 1003686 1065648 1096938 1338248 1462584 1505529 1598472 2007372 2193876 2676496 2925168 3011058 3196944 4014744 4387752 6022116 8029488 8775504 9080209 12044232 18160418 24088464 24924869 27240627 36320836 49849738 54481254 72641672 74774607 81721881 99699476 108962508 145283344 149549214 163443762 199398952 217925016 224323821 299098428 326887524 398797904 435850032 448647642 598196856 653775048 897295284 1196393712 1307550096 1794590568 3589181136 3713805481 7427610962 11141416443 14855221924 22282832886 29710443848 33424249329 44565665772 59420887696 66848498658 89131331544 133696997316 178262663088 267393994632 534787989264