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64454526441 = 3347611734813
BaseRepresentation
bin111100000001110010…
…100000010111101001
320011100221120012021000
4330001302200113221
52024000324321231
645335432105213
74441146302154
oct740162402751
9204327505230
1064454526441
1125375999778
12105a9835209
1361025a1956
143196322c9b
151a2385c6e6
hexf01ca05e9

64454526441 has 64 divisors (see below), whose sum is σ = 99712189440. Its totient is φ = 41118347520.

The previous prime is 64454526413. The next prime is 64454526457. The reversal of 64454526441 is 14462545446.

64454526441 is a `hidden beast` number, since 6 + 4 + 4 + 545 + 2 + 64 + 41 = 666.

It is not a de Polignac number, because 64454526441 - 26 = 64454526377 is a prime.

It is a super-3 number, since 3×644545264413 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (64454526641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13389351 + ... + 13394163.

It is an arithmetic number, because the mean of its divisors is an integer number (1558002960).

Almost surely, 264454526441 is an apocalyptic number.

64454526441 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

64454526441 is a deficient number, since it is larger than the sum of its proper divisors (35257662999).

64454526441 is a wasteful number, since it uses less digits than its factorization.

64454526441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5103 (or 5097 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The spelling of 64454526441 in words is "sixty-four billion, four hundred fifty-four million, five hundred twenty-six thousand, four hundred forty-one".

Divisors: 1 3 9 27 47 61 141 173 183 423 519 549 1269 1557 1647 2867 4671 4813 8131 8601 10553 14439 24393 25803 31659 43317 73179 77409 94977 129951 219537 226211 284931 293593 495991 678633 832649 880779 1487973 2035899 2497947 2642337 4463919 6107697 7493841 7927011 13391757 13798871 22481523 39134503 41396613 50791589 117403509 124189839 152374767 352210527 372569517 457124301 1056631581 1371372903 2387204683 7161614049 21484842147 64454526441