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428248301814 = 232195334768087
BaseRepresentation
bin1100011101101011001…
…01101000000011110110
31111221101100201210012100
412032311211220003312
524004023031124224
6524422355202530
742640251335034
oct6166545500366
91457340653170
10428248301814
1115568a002683
126abb75a6446
13314cab25828
1416a27b09554
15b21685aac9
hex63b59680f6

428248301814 has 96 divisors (see below), whose sum is σ = 998017562880. Its totient is φ = 132300357696.

The previous prime is 428248301813. The next prime is 428248301821. The reversal of 428248301814 is 418103842824.

428248301814 is a `hidden beast` number, since 4 + 28 + 248 + 301 + 81 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 428248301814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428248301813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6255679 + ... + 6323765.

It is an arithmetic number, because the mean of its divisors is an integer number (10396016280).

Almost surely, 2428248301814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428248301814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499008781440).

428248301814 is an abundant number, since it is smaller than the sum of its proper divisors (569769261066).

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

428248301814 is a wasteful number, since it uses less digits than its factorization.

428248301814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68514 (or 68511 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 428248301814 in words is "four hundred twenty-eight billion, two hundred forty-eight million, three hundred one thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 114 159 171 318 342 347 477 694 954 1007 1041 2014 2082 3021 3123 6042 6246 6593 9063 13186 18126 18391 19779 36782 39558 55173 59337 68087 110346 118674 136174 165519 204261 331038 349429 408522 612783 698858 1048287 1225566 1293653 2096574 2587306 3144861 3608611 3880959 6289722 7217222 7761918 10825833 11642877 21651666 23285754 23626189 32477499 47252378 64954998 68563609 70878567 137127218 141757134 205690827 212635701 411381654 425271402 448897591 617072481 897795182 1234144962 1252188017 1346692773 2504376034 2693385546 3756564051 4040078319 7513128102 8080156638 11269692153 22539384306 23791572323 47583144646 71374716969 142749433938 214124150907 428248301814