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428523437934 = 236919319817
BaseRepresentation
bin1100011110001011111…
…11001011111101101110
31111222002112110011000000
412033011333023331232
524010104000003214
6524505544245130
742650132060124
oct6170577137556
91458075404000
10428523437934
111558103444a9
126b0737707a6
1331542b29377
1416a52489914
15b230aa7809
hex63c5fcbf6e

428523437934 has 56 divisors (see below), whose sum is σ = 964788564240. Its totient is φ = 142685268768.

The previous prime is 428523437911. The next prime is 428523437941. The reversal of 428523437934 is 439734325824.

It is a happy number.

428523437934 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 234 + 379 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1179994 + ... + 1499810.

Almost surely, 2428523437934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428523437934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482394282120).

428523437934 is an abundant number, since it is smaller than the sum of its proper divisors (536265126306).

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

428523437934 is an equidigital number, since it uses as much as digits as its factorization.

428523437934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320756 (or 320741 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 428523437934 in words is "four hundred twenty-eight billion, five hundred twenty-three million, four hundred thirty-seven thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 919 1458 1838 2757 5514 8271 16542 24813 49626 74439 148878 223317 319817 446634 639634 669951 959451 1339902 1918902 2878353 5756706 8635059 17270118 25905177 51810354 77715531 155431062 233146593 293911823 466293186 587823646 881735469 1763470938 2645206407 5290412814 7935619221 15871238442 23806857663 47613715326 71420572989 142841145978 214261718967 428523437934