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127746166747136 = 21276536823021
BaseRepresentation
bin11101000010111100111000…
…111000111111000000000000
3121202022102012000010011022012
4131002330320320333000000
5113220443122141402021
61131405440121232052
735623233046150340
oct3502747070770000
9552272160104265
10127746166747136
113778193287a623
12123b2090932628
135638547a54092
142378d39b90d20
15eb7e86eb835b
hex742f38e3f000

127746166747136 has 104 divisors (see below), whose sum is σ = 292402736592864. Its totient is φ = 54664507883520.

The previous prime is 127746166747097. The next prime is 127746166747259. The reversal of 127746166747136 is 631747661647721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15311306 + ... + 22134326.

Almost surely, 2127746166747136 is an apocalyptic number.

127746166747136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127746166747136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146201368296432).

127746166747136 is an abundant number, since it is smaller than the sum of its proper divisors (164656569845728).

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

127746166747136 is an frugal number, since it uses more digits than its factorization.

127746166747136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823705 (or 6823683 counting only the distinct ones).

The product of its digits is 298722816, while the sum is 68.

The spelling of 127746166747136 in words is "one hundred twenty-seven trillion, seven hundred forty-six billion, one hundred sixty-six million, seven hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 653 896 1024 1306 1792 2048 2612 3584 4096 4571 5224 7168 9142 10448 14336 18284 20896 28672 36568 41792 73136 83584 146272 167168 292544 334336 585088 668672 1170176 1337344 2340352 2674688 4680704 6823021 9361408 13646042 18722816 27292084 47761147 54584168 95522294 109168336 191044588 218336672 382089176 436673344 764178352 873346688 1528356704 1746693376 3056713408 3493386752 4455432713 6113426816 6986773504 8910865426 12226853632 13973547008 17821730852 24453707264 27947094016 31188028991 35643461704 48907414528 62376057982 71286923408 97814829056 124752115964 142573846816 195629658112 249504231928 285147693632 499008463856 570295387264 998016927712 1140590774528 1996033855424 2281181549056 3992067710848 4562363098112 7984135421696 9124726196224 15968270843392 18249452392448 31936541686784 63873083373568 127746166747136