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427936035006 = 235312916261
BaseRepresentation
bin1100011101000101111…
…10011011000010111110
31111220120121010222200000
412032202332123002332
524002403111110011
6524331402215130
742626440165134
oct6164276330276
91456517128600
10427936035006
1115553980aa37
126ab2aab44a6
133147b22147c
14169d8461754
15b1e9227356
hex63a2f9b0be

427936035006 has 72 divisors (see below), whose sum is σ = 993554197272. Its totient is φ = 138043731600.

The previous prime is 427936035001. The next prime is 427936035013. The reversal of 427936035006 is 600530639724.

427936035006 is a `hidden beast` number, since 42 + 79 + 36 + 0 + 3 + 500 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427936035001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8916 + ... + 925176.

It is an arithmetic number, because the mean of its divisors is an integer number (13799363851).

Almost surely, 2427936035006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427936035006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496777098636).

427936035006 is an abundant number, since it is smaller than the sum of its proper divisors (565618162266).

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

427936035006 is an equidigital number, since it uses as much as digits as its factorization.

427936035006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916340 (or 916297 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 427936035006 in words is "four hundred twenty-seven billion, nine hundred thirty-six million, thirty-five thousand, six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 961 1674 1922 2511 2883 5022 5766 7533 8649 15066 17298 25947 51894 77841 155682 233523 467046 916261 1832522 2748783 5497566 8246349 16492698 24739047 28404091 49478094 56808182 74217141 85212273 148434282 170424546 222651423 255636819 445302846 511273638 766910457 880526821 1533820914 1761053642 2300731371 2641580463 4601462742 5283160926 6902194113 7924741389 13804388226 15849482778 23774224167 47548448334 71322672501 142645345002 213968017503 427936035006