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545431300304 = 241173101420323
BaseRepresentation
bin1111110111111100011…
…11010010100011010000
31221010212001012220002112
413323332033102203100
532414020403102204
61054322341404452
754256203362042
oct7737617224320
91833761186075
10545431300304
111a0352827880
128985ba09728
133c58450c2a7
141c582c83a92
15e2c436926e
hex7efe3d28d0

545431300304 has 80 divisors (see below), whose sum is σ = 1180209265344. Its totient is φ = 242105472000.

The previous prime is 545431300289. The next prime is 545431300321. The reversal of 545431300304 is 403003134545.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087487 + ... + 1507809.

Almost surely, 2545431300304 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 545431300304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590104632672).

545431300304 is an abundant number, since it is smaller than the sum of its proper divisors (634777965040).

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

545431300304 is a wasteful number, since it uses less digits than its factorization.

545431300304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420516 (or 420510 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 545431300304 its reverse (403003134545), we get a palindrome (948434434849).

The spelling of 545431300304 in words is "five hundred forty-five billion, four hundred thirty-one million, three hundred thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 73 88 101 146 176 202 292 404 584 803 808 1111 1168 1606 1616 2222 3212 4444 6424 7373 8888 12848 14746 17776 29492 58984 81103 117968 162206 324412 420323 648824 840646 1297648 1681292 3362584 4623553 6725168 9247106 18494212 30683579 36988424 42452623 61367158 73976848 84905246 122734316 169810492 245468632 337519369 339620984 466978853 490937264 675038738 679241968 933957706 1350077476 1867915412 2700154952 3099041479 3735830824 5400309904 6198082958 7471661648 12396165916 24792331832 34089456269 49584663664 68178912538 136357825076 272715650152 545431300304