Search a number
-
+
529296425856 = 2735111981421
BaseRepresentation
bin1111011001111001000…
…01101000001110000000
31212121012120121100100000
413230330201220032000
532132444341111411
61043053323200000
753145313246542
oct7547441501600
91777176540300
10529296425856
111945230408a0
12866b8376000
133abb28219c3
141b892043692
15db7cad0956
hex7b3c868380

529296425856 has 384 divisors, whose sum is σ = 1813821609600. Its totient is φ = 151949260800.

The previous prime is 529296425849. The next prime is 529296425891. The reversal of 529296425856 is 658524692925.

529296425856 is a `hidden beast` number, since 5 + 2 + 9 + 2 + 9 + 6 + 42 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5292964258562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 529296425793 and 529296425802.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6460026 + ... + 6541446.

It is an arithmetic number, because the mean of its divisors is an integer number (4723493775).

Almost surely, 2529296425856 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 529296425856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906910804800).

529296425856 is an abundant number, since it is smaller than the sum of its proper divisors (1284525183744).

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

529296425856 is a wasteful number, since it uses less digits than its factorization.

529296425856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81480 (or 81456 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 529296425856 in words is "five hundred twenty-nine billion, two hundred ninety-six million, four hundred twenty-five thousand, eight hundred fifty-six".