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258147116136 = 233271339399743
BaseRepresentation
bin1111000001101011000…
…1000110010001101000
3220200022201100020102100
43300122301012101220
513212141130204021
6314331404333400
724436061165640
oct3603261062150
9820281306370
10258147116136
119a530354188
1242044b44260
131b45cc31380
14c6cc853520
156aad1c4626
hex3c1ac46468

258147116136 has 96 divisors (see below), whose sum is σ = 860490408960. Its totient is φ = 68082754176.

The previous prime is 258147116063. The next prime is 258147116167. The reversal of 258147116136 is 631611741852.

258147116136 is a `hidden beast` number, since 2 + 5 + 8 + 14 + 7 + 11 + 613 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 258147116091 and 258147116100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19693320 + ... + 19706423.

It is an arithmetic number, because the mean of its divisors is an integer number (8963441760).

Almost surely, 2258147116136 is an apocalyptic number.

258147116136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

258147116136 is an abundant number, since it is smaller than the sum of its proper divisors (602343292824).

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

258147116136 is a wasteful number, since it uses less digits than its factorization.

258147116136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39399775 (or 39399768 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

Adding to 258147116136 its reverse (631611741852), we get a palindrome (889758857988).

The spelling of 258147116136 in words is "two hundred fifty-eight billion, one hundred forty-seven million, one hundred sixteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 39399743 78799486 118199229 157598972 236398458 275798201 315197944 354597687 472796916 512196659 551596402 709195374 827394603 945593832 1024393318 1103192804 1418390748 1536589977 1654789206 2048786636 2206385608 2482183809 2836781496 3073179954 3309578412 3585376613 4097573272 4609769931 4964367618 6146359908 6619156824 7170753226 9219539862 9928735236 10756129839 12292719816 14341506452 18439079724 19857470472 21512259678 28683012904 32268389517 36878159448 43024519356 64536779034 86049038712 129073558068 258147116136