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429834804448 = 2572699371089
BaseRepresentation
bin1100100000101000010…
…01101001110011100000
31112002110221000110200011
412100110021221303200
524020300202220243
6525244031334304
743024464361120
oct6202411516340
91462427013604
10429834804448
111563235a5585
126b37a981394
13316c1713b9a
1416b386c8c80
15b2aac9089d
hex6414269ce0

429834804448 has 48 divisors (see below), whose sum is σ = 967177743840. Its totient is φ = 184205500416.

The previous prime is 429834804401. The next prime is 429834804467. The reversal of 429834804448 is 844408438924.

It is a super-2 number, since 2×4298348044482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 429834804392 and 429834804401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6010888 + ... + 6081976.

It is an arithmetic number, because the mean of its divisors is an integer number (20149536330).

Almost surely, 2429834804448 is an apocalyptic number.

It is an amenable number.

429834804448 is an abundant number, since it is smaller than the sum of its proper divisors (537342939392).

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

429834804448 is a wasteful number, since it uses less digits than its factorization.

429834804448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98099 (or 98091 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 58.

The spelling of 429834804448 in words is "four hundred twenty-nine billion, eight hundred thirty-four million, eight hundred four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 26993 53986 71089 107972 142178 188951 215944 284356 377902 431888 497623 568712 755804 863776 995246 1137424 1511608 1990492 2274848 3023216 3980984 6046432 7961968 15923936 1918905377 3837810754 7675621508 13432337639 15351243016 26864675278 30702486032 53729350556 61404972064 107458701112 214917402224 429834804448