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27431436354 = 2374789156139
BaseRepresentation
bin11001100011000010…
…101000000001000010
32121210202002100110020
4121203002220001002
5422134421430404
620333554514310
71660530235050
oct314302500102
977722070406
1027431436354
11106a7370163
125396895996
1327821aab5a
14148326b1d0
15aa83a7ed9
hex6630a8042

27431436354 has 64 divisors (see below), whose sum is σ = 64754380800. Its totient is φ = 7584559488.

The previous prime is 27431436281. The next prime is 27431436379. The reversal of 27431436354 is 45363413472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97617 + ... + 253755.

It is an arithmetic number, because the mean of its divisors is an integer number (1011787200).

Almost surely, 227431436354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27431436354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32377190400).

27431436354 is an abundant number, since it is smaller than the sum of its proper divisors (37322944446).

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

27431436354 is a wasteful number, since it uses less digits than its factorization.

27431436354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156287.

The product of its digits is 725760, while the sum is 42.

The spelling of 27431436354 in words is "twenty-seven billion, four hundred thirty-one million, four hundred thirty-six thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 47 89 94 141 178 267 282 329 534 623 658 987 1246 1869 1974 3738 4183 8366 12549 25098 29281 58562 87843 156139 175686 312278 468417 936834 1092973 2185946 3278919 6557838 7338533 13896371 14677066 22015599 27792742 41689113 44031198 51369731 83378226 97274597 102739462 154109193 194549194 291823791 308218386 583647582 653129437 1306258874 1959388311 3918776622 4571906059 9143812118 13715718177 27431436354