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427644256374 = 23323510767421
BaseRepresentation
bin1100011100100011001…
…01011000000001110110
31111212211021010002122000
412032101211120001312
524001303412200444
6524242420320130
742616265126436
oct6162145300166
91455737102560
10427644256374
111553aa041375
126aa69243046
13314329417aa
14169ab7cc2c6
15b1cd7de469
hex6391958076

427644256374 has 64 divisors (see below), whose sum is σ = 991847738880. Its totient is φ = 136321621920.

The previous prime is 427644256373. The next prime is 427644256393. The reversal of 427644256374 is 473652446724.

427644256374 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 4 + 4 + 2 + 563 + 74 = 666.

It is a super-2 number, since 2×4276442563742 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 427644256374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427644256373) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6309184 + ... + 6376604.

It is an arithmetic number, because the mean of its divisors is an integer number (15497620920).

Almost surely, 2427644256374 is an apocalyptic number.

427644256374 is an abundant number, since it is smaller than the sum of its proper divisors (564203482506).

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

427644256374 is a wasteful number, since it uses less digits than its factorization.

427644256374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72562 (or 72556 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 54.

The spelling of 427644256374 in words is "four hundred twenty-seven billion, six hundred forty-four million, two hundred fifty-six thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 5107 10214 15321 30642 45963 67421 91926 117461 134842 137889 202263 234922 275778 352383 404526 606789 704766 1057149 1213578 1550683 1820367 2114298 3101366 3171447 3640734 4652049 6342894 9304098 13956147 27912294 41868441 83736882 344319047 688638094 1032957141 2065914282 3098871423 6197742846 7919338081 9296614269 15838676162 18593228538 23758014243 47516028486 71274042729 142548085458 213822128187 427644256374