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427924416951 = 32149331846723
BaseRepresentation
bin1100011101000100100…
…10000110100110110111
31111220112210021201200200
412032202102012212313
524002342122320301
6524330305211543
742626236346223
oct6164222064667
91456483251620
10427924416951
111555331a5139
126ab27030bb3
13314789b4295
14169d6ab9783
15b1e81cec86
hex63a24869b7

427924416951 has 12 divisors (see below), whose sum is σ = 618527073528. Its totient is φ = 285091855344.

The previous prime is 427924416947. The next prime is 427924416977. The reversal of 427924416951 is 159614429724.

427924416951 is a `hidden beast` number, since 4 + 2 + 7 + 92 + 441 + 69 + 51 = 666.

It is not a de Polignac number, because 427924416951 - 22 = 427924416947 is a prime.

It is a super-2 number, since 2×4279244169512 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427924416901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15909925 + ... + 15936798.

It is an arithmetic number, because the mean of its divisors is an integer number (51543922794).

Almost surely, 2427924416951 is an apocalyptic number.

427924416951 is a deficient number, since it is larger than the sum of its proper divisors (190602656577).

427924416951 is a wasteful number, since it uses less digits than its factorization.

427924416951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31848222 (or 31848219 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 427924416951 in words is "four hundred twenty-seven billion, nine hundred twenty-four million, four hundred sixteen thousand, nine hundred fifty-one".

Divisors: 1 3 9 1493 4479 13437 31846723 95540169 286620507 47547157439 142641472317 427924416951