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427626119214 = 232722914820341
BaseRepresentation
bin1100011100100001000…
…00001100000000101110
31111212202222222122010100
412032100200030000232
524001234241303324
6524240531451530
742615655016430
oct6162040140056
91455688878110
10427626119214
1115539a883688
126aa63156ba6
133142bc61248
14169a922a650
15b1cbe0a4c9
hex639080c02e

427626119214 has 48 divisors (see below), whose sum is σ = 1063507741920. Its totient is φ = 121645350720.

The previous prime is 427626119213. The next prime is 427626119237. The reversal of 427626119214 is 412911626724.

427626119214 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 2 + 611 + 9 + 21 + 4 = 666.

It is a super-2 number, since 2×4276261192142 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 427626119214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427626119213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7381317 + ... + 7439024.

It is an arithmetic number, because the mean of its divisors is an integer number (22156411290).

Almost surely, 2427626119214 is an apocalyptic number.

427626119214 is an abundant number, since it is smaller than the sum of its proper divisors (635881622706).

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

427626119214 is a wasteful number, since it uses less digits than its factorization.

427626119214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14820585 (or 14820582 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 427626119214 in words is "four hundred twenty-seven billion, six hundred twenty-six million, one hundred nineteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 229 458 687 1374 1603 2061 3206 4122 4809 9618 14427 28854 14820341 29640682 44461023 88922046 103742387 133383069 207484774 266766138 311227161 622454322 933681483 1867362966 3393858089 6787716178 10181574267 20363148534 23757006623 30544722801 47514013246 61089445602 71271019869 142542039738 213813059607 427626119214