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127381780669 = 112133167127307
BaseRepresentation
bin111011010100010001…
…0111011100010111101
3110011210110021220220111
41312220202323202331
54041334213440134
6134303545350021
712126432161563
oct1665042734275
9404713256814
10127381780669
114a027770200
122082ba98311
13c020622b20
146245883a33
1534a8084c64
hex1da88bb8bd

127381780669 has 96 divisors (see below), whose sum is σ = 159734693888. Its totient is φ = 100769961600.

The previous prime is 127381780663. The next prime is 127381780697. The reversal of 127381780669 is 966087183721.

It is not a de Polignac number, because 127381780669 - 211 = 127381778621 is a prime.

It is a super-2 number, since 2×1273817806692 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127381780663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 414924214 + ... + 414924520.

Almost surely, 2127381780669 is an apocalyptic number.

It is an amenable number.

127381780669 is a deficient number, since it is larger than the sum of its proper divisors (32352913219).

127381780669 is a wasteful number, since it uses less digits than its factorization.

127381780669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The spelling of 127381780669 in words is "one hundred twenty-seven billion, three hundred eighty-one million, seven hundred eighty thousand, six hundred sixty-nine".

Divisors: 1 11 13 31 67 121 127 143 307 341 403 737 871 1397 1573 1651 2077 3377 3751 3937 3991 4433 8107 8509 9517 9581 15367 18161 20569 22847 27001 37147 38989 43307 43901 48763 51181 93599 104687 105391 110617 123721 199771 226259 251317 263779 267397 297011 428879 476377 482911 506857 562991 637639 1029589 1151557 1208659 1216787 1360931 2488849 2612263 2901569 2941367 3267121 3429127 4717669 5575427 6192901 7014029 8289307 13295249 13384657 14970241 15712567 28734893 31917259 32355037 33959419 37720397 61329697 77154319 80980153 91182377 146247739 172838237 316083823 373553609 414924367 890781683 1003006147 1052741989 1901220607 4109089699 9798598513 11580161879 127381780669