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428652521948 = 227231234730059
BaseRepresentation
bin1100011110011011010…
…11100110100111011100
31111222102112100021222102
412033031223212213130
524010340021200243
6524530435104232
742653260214300
oct6171553464734
91458375307872
10428652521948
111558771a0202
126b0aaa42078
13315637b3c41
1416a6568bd00
15b23c0a49b8
hex63cdae69dc

428652521948 has 72 divisors (see below), whose sum is σ = 901176675840. Its totient is φ = 177700491360.

The previous prime is 428652521923. The next prime is 428652521951. The reversal of 428652521948 is 849125256824.

It is a junction number, because it is equal to n+sod(n) for n = 428652521893 and 428652521902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14245343 + ... + 14275401.

It is an arithmetic number, because the mean of its divisors is an integer number (12516342720).

Almost surely, 2428652521948 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 428652521948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450588337920).

428652521948 is an abundant number, since it is smaller than the sum of its proper divisors (472524153892).

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

428652521948 is a wasteful number, since it uses less digits than its factorization.

428652521948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32455 (or 32446 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 56.

The spelling of 428652521948 in words is "four hundred twenty-eight billion, six hundred fifty-two million, five hundred twenty-one thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 1519 2347 3038 4694 6076 9388 16429 30059 32858 60118 65716 72757 115003 120236 145514 210413 230006 291028 420826 460012 509299 841652 931829 1018598 1472891 1863658 2037196 2945782 3565093 3727316 5891564 6522803 7130186 13045606 14260372 26091212 45659621 70548473 91319242 141096946 182638484 282193892 493839311 987678622 1975357244 2187002663 3456875177 4374005326 6913750354 8748010652 13827500708 15309018641 30618037282 61236074564 107163130487 214326260974 428652521948