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428505085908 = 2232174317599257
BaseRepresentation
bin1100011110001001110…
…01001011011111010100
31111222001020220202202100
412033010321023133110
524010034300222113
6524504051042100
742646520063514
oct6170471133724
91458036822670
10428505085908
11155800a4a339
126b0695a0330
133153c0a2093
1416a4dc6d844
15b22e17ed73
hex63c4e4b7d4

428505085908 has 144 divisors (see below), whose sum is σ = 1174346933760. Its totient is φ = 131217795072.

The previous prime is 428505085871. The next prime is 428505085949. The reversal of 428505085908 is 809580505824.

It is a happy number.

428505085908 is a `hidden beast` number, since 4 + 2 + 85 + 0 + 508 + 59 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46285216 + ... + 46294472.

It is an arithmetic number, because the mean of its divisors is an integer number (8155187040).

Almost surely, 2428505085908 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 428505085908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587173466880).

428505085908 is an abundant number, since it is smaller than the sum of its proper divisors (745841847852).

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

428505085908 is a wasteful number, since it uses less digits than its factorization.

428505085908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11086 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 428505085908 in words is "four hundred twenty-eight billion, five hundred five million, eighty-five thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 306 387 516 612 731 774 1462 1548 1759 2193 2924 3518 4386 5277 6579 7036 8772 9257 10554 13158 15831 18514 21108 26316 27771 29903 31662 37028 55542 59806 63324 75637 83313 89709 111084 119612 151274 157369 166626 179418 226911 269127 302548 314738 333252 358836 398051 453822 472107 538254 629476 680733 796102 907644 944214 1076508 1194153 1285829 1361466 1416321 1592204 1888428 2388306 2571658 2722932 2832642 3582459 3857487 4776612 5143316 5665284 6766867 7164918 7714974 11572461 13533734 14329836 15429948 16283063 20300601 23144922 27067468 32566126 40601202 46289844 48849189 60901803 65132252 81202404 97698378 121803606 146547567 195396756 243607212 276812071 293095134 553624142 586190268 700171709 830436213 1107248284 1400343418 1660872426 2100515127 2491308639 2800686836 3321744852 4201030254 4982617278 6301545381 8402060508 9965234556 11902919053 12603090762 23805838106 25206181524 35708757159 47611676212 71417514318 107126271477 142835028636 214252542954 428505085908