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4334252220045 = 32511291181255659
BaseRepresentation
bin111111000100100101100…
…100000101111010001101
3120100100110111012210100200
4333010211210011322031
51032003022032020140
613115043351044113
7625065545000346
oct77044544057215
916310414183320
104334252220045
111421167425840
125a0010370639
13255944c4cb67
1410dac95370cd
1577b2573a030
hex3f125905e8d

4334252220045 has 96 divisors (see below), whose sum is σ = 8485498569600. Its totient is φ = 2027265676800.

The previous prime is 4334252220019. The next prime is 4334252220071. The reversal of 4334252220045 is 5400222524334.

4334252220045 is a `hidden beast` number, since 4 + 3 + 3 + 425 + 2 + 220 + 0 + 4 + 5 = 666.

4334252220045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4334252220019) and next prime (4334252220071).

It is not a de Polignac number, because 4334252220045 - 26 = 4334252219981 is a prime.

It is a super-2 number, since 2×43342522200452 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4334252219991 and 4334252220009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16825426 + ... + 17081084.

It is an arithmetic number, because the mean of its divisors is an integer number (88390610100).

Almost surely, 24334252220045 is an apocalyptic number.

4334252220045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4334252220045 is a deficient number, since it is larger than the sum of its proper divisors (4151246349555).

4334252220045 is a wasteful number, since it uses less digits than its factorization.

4334252220045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256891 (or 256888 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 4334252220045 its reverse (5400222524334), we get a palindrome (9734474744379).

The spelling of 4334252220045 in words is "four trillion, three hundred thirty-four billion, two hundred fifty-two million, two hundred twenty thousand, forty-five".

Divisors: 1 3 5 9 11 15 29 33 45 55 87 99 145 165 261 319 435 495 957 1181 1305 1595 2871 3543 4785 5905 10629 12991 14355 17715 34249 38973 53145 64955 102747 116919 171245 194865 255659 308241 376739 513735 584595 766977 1130217 1278295 1541205 1883695 2300931 2812249 3390651 3834885 5651085 7414111 8436747 11504655 14061245 16953255 22242333 25310241 37070555 42183735 66726999 81555221 111211665 126551205 244665663 301933279 333634995 407776105 733996989 905799837 1223328315 1509666395 2717399511 3321266069 3669984945 4528999185 8756065091 9963798207 13586997555 16606330345 26268195273 29891394621 43780325455 49818991035 78804585819 96316716001 131340976365 149456973105 288950148003 394022929095 481583580005 866850444009 1444750740015 4334252220045