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562541015140 = 22513337346013
BaseRepresentation
bin10000010111110100000…
…11101011000001100100
31222210000110011110110121
420023322003223001210
533204040444441030
61110232222131324
755433201506426
oct10137203530144
91883013143417
10562541015140
111a7632812875
1291035a20b44
1341080168000
141d327362816
15e9764b447a
hex82fa0eb064

562541015140 has 96 divisors (see below), whose sum is σ = 1314327258720. Its totient is φ = 202093152768.

The previous prime is 562541015117. The next prime is 562541015149. The reversal of 562541015140 is 41510145265.

It can be written as a sum of positive squares in 16 ways, for example, as 337842262564 + 224698752576 = 581242^2 + 474024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 562541015096 and 562541015105.

It is not an unprimeable number, because it can be changed into a prime (562541015149) 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 31 ways as a sum of consecutive naturals, for example, 1452774 + ... + 1798786.

It is an arithmetic number, because the mean of its divisors is an integer number (13690908945).

Almost surely, 2562541015140 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 562541015140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657163629360).

562541015140 is an abundant number, since it is smaller than the sum of its proper divisors (751786243580).

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

562541015140 is a wasteful number, since it uses less digits than its factorization.

562541015140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346098 (or 346070 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 562541015140 in words is "five hundred sixty-two billion, five hundred forty-one million, fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 169 185 260 338 370 481 676 740 845 962 1690 1924 2197 2405 3380 4394 4810 6253 8788 9620 10985 12506 21970 25012 31265 43940 62530 81289 125060 162578 325156 346013 406445 692026 812890 1384052 1625780 1730065 3460130 4498169 6920260 8996338 12802481 17992676 22490845 25604962 44981690 51209924 58476197 64012405 89963380 116952394 128024810 166432253 233904788 256049620 292380985 332864506 584761970 665729012 760190561 832161265 1169523940 1520381122 1664322530 2163619289 3040762244 3328645060 3800952805 4327238578 7601905610 8654477156 10818096445 15203811220 21636192890 28127050757 43272385780 56254101514 112508203028 140635253785 281270507570 562541015140