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125453096348112 = 243313109320437799
BaseRepresentation
bin11100100001100101010011…
…001111100110100111010000
3121110012012100222121111002000
4130201211103033212213100
5112420410420131114422
61122452205024354000
735265454451311131
oct3441452317464720
9543165328544060
10125453096348112
1136a783a53732a5
12120a1798175900
13550023a218a20
1422d9d68631c88
15e784c9d8bcac
hex7219533e69d0

125453096348112 has 160 divisors (see below), whose sum is σ = 388151427552000. Its totient is φ = 38565634318848.

The previous prime is 125453096348071. The next prime is 125453096348117. The reversal of 125453096348112 is 211843690354521.

125453096348112 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 530 + 9 + 63 + 48 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125453096348117) by changing a digit.

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, 4080612 + ... + 16357187.

It is an arithmetic number, because the mean of its divisors is an integer number (2425946422200).

Almost surely, 2125453096348112 is an apocalyptic number.

125453096348112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125453096348112 is an abundant number, since it is smaller than the sum of its proper divisors (262698331203888).

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

125453096348112 is a wasteful number, since it uses less digits than its factorization.

125453096348112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20438922 (or 20438910 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 125453096348112 in words is "one hundred twenty-five trillion, four hundred fifty-three billion, ninety-six million, three hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1093 1404 1872 2186 2808 3279 4372 5616 6558 8744 9837 13116 14209 17488 19674 26232 28418 29511 39348 42627 52464 56836 59022 78696 85254 113672 118044 127881 157392 170508 227344 236088 255762 341016 383643 472176 511524 682032 767286 1023048 1534572 2046096 3069144 6138288 20437799 40875598 61313397 81751196 122626794 163502392 183940191 245253588 265691387 327004784 367880382 490507176 531382774 551820573 735760764 797074161 981014352 1062765548 1103641146 1471521528 1594148322 2125531096 2207282292 2391222483 2943043056 3188296644 4251062192 4414564584 4782444966 6376593288 7173667449 8829129168 9564889932 12753186576 14347334898 19129779864 22338514307 28694669796 38259559728 44677028614 57389339592 67015542921 89354057228 114778679184 134031085842 178708114456 201046628763 268062171684 290400685991 357416228912 402093257526 536124343368 580801371982 603139886289 804186515052 871202057973 1072248686736 1161602743964 1206279772578 1608373030104 1742404115946 2323205487928 2412559545156 2613606173919 3216746060208 3484808231892 4646410975856 4825119090312 5227212347838 6969616463784 7840818521757 9650238180624 10454424695676 13939232927568 15681637043514 20908849391352 31363274087028 41817698782704 62726548174056 125453096348112