Search a number
-
+
127081069518852 = 22332355717918209
BaseRepresentation
bin11100111001010001011110…
…000000011010000000000100
3121122221211110020100021101000
4130321101132000122000010
5113124044012244100402
61130140123135333300
735524206241040631
oct3471213600320004
9548854406307330
10127081069518852
1137545862823a09
12123051b5081230
1355ba902627aa7
142354a840c7188
15ea5a0c187c1c
hex73945e01a004

127081069518852 has 96 divisors (see below), whose sum is σ = 343800742521600. Its totient is φ = 40517830526976.

The previous prime is 127081069518839. The next prime is 127081069518869. The reversal of 127081069518852 is 258815960180721.

127081069518852 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 8 + 1 + 0 + 69 + 518 + 8 + 52 = 666.

It is a super-2 number, since 2×1270810695188522 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127081069518852.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137941924 + ... + 138860132.

It is an arithmetic number, because the mean of its divisors is an integer number (3581257734600).

Almost surely, 2127081069518852 is an apocalyptic number.

127081069518852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127081069518852 is an abundant number, since it is smaller than the sum of its proper divisors (216719673002748).

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

127081069518852 is a wasteful number, since it uses less digits than its factorization.

127081069518852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973962 (or 973954 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 63.

The spelling of 127081069518852 in words is "one hundred twenty-seven trillion, eighty-one billion, sixty-nine million, five hundred eighteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 55717 111434 167151 222868 334302 501453 668604 918209 1002906 1281491 1504359 1836418 2005812 2562982 2754627 3008718 3672836 3844473 5125964 5509254 6017436 7688946 8263881 11018508 11533419 15377892 16527762 21118807 23066838 24791643 33055524 34600257 42237614 46133676 49583286 63356421 69200514 84475228 99166572 126712842 138401028 190069263 253425684 380138526 570207789 760277052 1140415578 2280831156 51159850853 102319701706 153479552559 204639403412 306959105118 460438657677 613918210236 920877315354 1176676569619 1381315973031 1841754630708 2353353139238 2762631946062 3530029708857 4706706278476 5525263892124 7060059417714 10590089126571 14120118835428 21180178253142 31770267379713 42360356506284 63540534759426 127081069518852