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428785503102 = 2321119179636749
BaseRepresentation
bin1100011110101011001…
…10111000101101111110
31111222202210120102211100
412033111212320231332
524011123042044402
6524551545233530
742656463432405
oct6172546705576
91458683512740
10428785503102
11155935268990
126b1274928a6
1331585204608
1416a791c663c
15b248ac171c
hex63d59b8b7e

428785503102 has 96 divisors (see below), whose sum is σ = 1072796400000. Its totient is φ = 122408435520.

The previous prime is 428785503077. The next prime is 428785503109. The reversal of 428785503102 is 201305587824.

428785503102 is a `hidden beast` number, since 4 + 2 + 87 + 8 + 550 + 3 + 10 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428785503109) 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, 355024 + ... + 991772.

It is an arithmetic number, because the mean of its divisors is an integer number (11174962500).

Almost surely, 2428785503102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428785503102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536398200000).

428785503102 is an abundant number, since it is smaller than the sum of its proper divisors (644010896898).

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

428785503102 is a wasteful number, since it uses less digits than its factorization.

428785503102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636966 (or 636963 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 428785503102 in words is "four hundred twenty-eight billion, seven hundred eighty-five million, five hundred three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 179 198 209 342 358 418 537 627 1074 1254 1611 1881 1969 3222 3401 3762 3938 5907 6802 10203 11814 17721 20406 30609 35442 37411 61218 74822 112233 224466 336699 636749 673398 1273498 1910247 3820494 5730741 7004239 11461482 12098231 14008478 21012717 24196462 36294693 42025434 63038151 72589386 108884079 113978071 126076302 133080541 217768158 227956142 266161082 341934213 399241623 683868426 798483246 1025802639 1197724869 1253758781 2051605278 2165583349 2395449738 2507517562 3761276343 4331166698 6496750047 7522552686 11283829029 12993500094 19490250141 22567658058 23821416839 38980500282 47642833678 71464250517 142928501034 214392751551 428785503102