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254157808542 = 2311171063213097
BaseRepresentation
bin1110110010110011111…
…1000110001110011110
3220022000200202102012020
43230230333012032132
513131003344333132
6312431455521010
724235160504361
oct3545477061636
9808020672166
10254157808542
1198873503360
1241310b29166
131ac755b4731
14c430ac40d8
156927d6252c
hex3b2cfc639e

254157808542 has 64 divisors (see below), whose sum is σ = 587700417024. Its totient is φ = 72418544640.

The previous prime is 254157808529. The next prime is 254157808561. The reversal of 254157808542 is 245808751452.

It is a happy number.

254157808542 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086138 + ... + 1299234.

It is an arithmetic number, because the mean of its divisors is an integer number (9182819016).

Almost surely, 2254157808542 is an apocalyptic number.

254157808542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 254157808542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293850208512).

254157808542 is an abundant number, since it is smaller than the sum of its proper divisors (333542608482).

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

254157808542 is a wasteful number, since it uses less digits than its factorization.

254157808542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214193.

The product of its (nonzero) digits is 3584000, while the sum is 51.

The spelling of 254157808542 in words is "two hundred fifty-four billion, one hundred fifty-seven million, eight hundred eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1063 1122 2126 3189 6378 11693 18071 23386 35079 36142 54213 70158 108426 198781 213097 397562 426194 596343 639291 1192686 1278582 2344067 3622649 4688134 7032201 7245298 10867947 14064402 21735894 39849139 79698278 119547417 226522111 239094834 453044222 679566333 1359132666 2491743221 3850875887 4983486442 7475229663 7701751774 11552627661 14950459326 23105255322 42359634757 84719269514 127078904271 254157808542