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428159649024 = 28321307142183
BaseRepresentation
bin1100011101100000100…
…11011100010100000000
31111221011011220202102200
412032300103130110000
524003332332232044
6524405511113200
742635123653062
oct6166023342400
91457134822380
10428159649024
11155643a61508
126ab91972800
13314b5655b63
1416a1a02d732
15b20db98369
hex63b04dc500

428159649024 has 108 divisors (see below), whose sum is σ = 1235443032096. Its totient is φ = 142609683456.

The previous prime is 428159649017. The next prime is 428159649031. The reversal of 428159649024 is 420946951824.

428159649024 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 596 + 49 + 0 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (428159649017) and next prime (428159649031).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2940237 + ... + 3082419.

Almost surely, 2428159649024 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 428159649024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617721516048).

428159649024 is an abundant number, since it is smaller than the sum of its proper divisors (807283383072).

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

428159649024 is a wasteful number, since it uses less digits than its factorization.

428159649024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143512 (or 143495 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 428159649024 in words is "four hundred twenty-eight billion, one hundred fifty-nine million, six hundred forty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1307 2304 2614 3921 5228 7842 10456 11763 15684 20912 23526 31368 41824 47052 62736 83648 94104 125472 142183 167296 188208 250944 284366 334592 376416 426549 501888 568732 752832 853098 1003776 1137464 1279647 1505664 1706196 2274928 2559294 3011328 3412392 4549856 5118588 6824784 9099712 10237176 13649568 18199424 20474352 27299136 36398848 40948704 54598272 81897408 109196544 163794816 185833181 327589632 371666362 557499543 743332724 1114999086 1486665448 1672498629 2229998172 2973330896 3344997258 4459996344 5946661792 6689994516 8919992688 11893323584 13379989032 17839985376 23786647168 26759978064 35679970752 47573294336 53519956128 71359941504 107039912256 142719883008 214079824512 428159649024