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545111654364 = 223341152380831
BaseRepresentation
bin1111110111010110010…
…11111011111111011100
31221010000202202012022000
413323223023323333130
532412342040414424
61054230522322300
754245242416504
oct7735313737734
91833022665260
10545111654364
111a01a9355082
1289790959390
133c533223294
141c552638a04
15e2a62793c9
hex7eeb2fbfdc

545111654364 has 96 divisors (see below), whose sum is σ = 1448690503680. Its totient is φ = 177153494400.

The previous prime is 545111654291. The next prime is 545111654411. The reversal of 545111654364 is 463456111545.

545111654364 is a `hidden beast` number, since 5 + 4 + 51 + 1 + 165 + 436 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6703429 + ... + 6784259.

It is an arithmetic number, because the mean of its divisors is an integer number (15090526080).

Almost surely, 2545111654364 is an apocalyptic number.

545111654364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545111654364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724345251840).

545111654364 is an abundant number, since it is smaller than the sum of its proper divisors (903578849316).

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

545111654364 is a wasteful number, since it uses less digits than its factorization.

545111654364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82408 (or 82400 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 545111654364 in words is "five hundred forty-five billion, one hundred eleven million, six hundred fifty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 1523 2214 3046 4428 4569 6092 9138 13707 18276 27414 41121 54828 62443 80831 82242 124886 161662 164484 187329 242493 249772 323324 374658 484986 561987 727479 749316 969972 1123974 1454958 1685961 2182437 2247948 2909916 3314071 3371922 4364874 6628142 6743844 8729748 9942213 13256284 19884426 29826639 39768852 59653278 89479917 119306556 123105613 178959834 246211226 357919668 369316839 492422452 738633678 1107950517 1477267356 2215901034 3323851551 4431802068 5047330133 6647703102 10094660266 13295406204 15141990399 20189320532 30283980798 45425971197 60567961596 90851942394 136277913591 181703884788 272555827182 545111654364