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428100339912 = 233717532828209
BaseRepresentation
bin1100011101011001100…
…01001100100011001000
31111221000001022112121220
412032230301030203020
524003222141334122
6524355552002040
742633503564160
oct6165461144310
91457001275556
10428100339912
11155613532713
126ab75b30320
13314a628b4cb
1416a121d15a0
15b20888025c
hex63acc4c8c8

428100339912 has 128 divisors (see below), whose sum is σ = 1319529657600. Its totient is φ = 112947314688.

The previous prime is 428100339893. The next prime is 428100339913. The reversal of 428100339912 is 219933001824.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (428100339913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1262737 + ... + 1565472.

It is an arithmetic number, because the mean of its divisors is an integer number (10308825450).

Almost surely, 2428100339912 is an apocalyptic number.

428100339912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

428100339912 is an abundant number, since it is smaller than the sum of its proper divisors (891429317688).

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

428100339912 is a wasteful number, since it uses less digits than its factorization.

428100339912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828295 (or 2828291 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 428100339912 in words is "four hundred twenty-eight billion, one hundred million, three hundred thirty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 53 56 68 84 102 106 119 136 159 168 204 212 238 318 357 371 408 424 476 636 714 742 901 952 1113 1272 1428 1484 1802 2226 2703 2856 2968 3604 4452 5406 6307 7208 8904 10812 12614 18921 21624 25228 37842 50456 75684 151368 2828209 5656418 8484627 11312836 16969254 19797463 22625672 33938508 39594926 48079553 59392389 67877016 79189852 96159106 118784778 144238659 149895077 158379704 192318212 237569556 288477318 299790154 336556871 384636424 449685231 475139112 576954636 599580308 673113742 899370462 1009670613 1049265539 1153909272 1199160616 1346227484 1798740924 2019341226 2098531078 2548216309 2692454968 3147796617 3597481848 4038682452 4197062156 5096432618 6295593234 7644648927 8077364904 8394124312 10192865236 12591186468 15289297854 17837514163 20385730472 25182372936 30578595708 35675028326 53512542489 61157191416 71350056652 107025084978 142700113304 214050169956 428100339912