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275007552414 = 23719219393979
BaseRepresentation
bin1000000000001111011…
…10100011101110011110
3222021211202020010220020
410000013232203232132
514001203413134124
6330200422133010
725603641424560
oct4000756435636
9867752203806
10275007552414
11a66a2659541
124536b581166
131cc1903ab9a
14d44bba3330
1572484ce379
hex4007ba3b9e

275007552414 has 96 divisors (see below), whose sum is σ = 666858021120. Its totient is φ = 74051656704.

The previous prime is 275007552409. The next prime is 275007552431. The reversal of 275007552414 is 414255700572.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2879277 + ... + 2973255.

It is an arithmetic number, because the mean of its divisors is an integer number (6946437720).

Almost surely, 2275007552414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275007552414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333429010560).

275007552414 is an abundant number, since it is smaller than the sum of its proper divisors (391850468706).

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

275007552414 is a wasteful number, since it uses less digits than its factorization.

275007552414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94222 (or 94203 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 42.

The spelling of 275007552414 in words is "two hundred seventy-five billion, seven million, five hundred fifty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 193 266 361 386 399 579 722 798 1083 1158 1351 2166 2527 2702 3667 4053 5054 7334 7581 8106 11001 15162 22002 25669 51338 69673 77007 93979 139346 154014 187958 209019 281937 418038 487711 563874 657853 975422 1315706 1463133 1785601 1973559 2926266 3571202 3947118 5356803 10713606 12499207 18137947 24998414 33926419 36275894 37497621 54413841 67852838 74995242 101779257 108827682 126965629 203558514 237484933 253931258 344620993 380896887 474969866 689241986 712454799 761793774 1033862979 1424909598 2067725958 2412346951 4824693902 6547798867 7237040853 13095597734 14474081706 19643396601 39286793202 45834592069 91669184138 137503776207 275007552414