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10972485323976 = 2331144839271123
BaseRepresentation
bin1001111110101011101100…
…0101110000110011001000
31102211221220100221022111110
42133222323011300303020
52414233122220331401
635200405024330320
72211510262250061
oct237527305606310
942757810838443
1010972485323976
11355044aa05640
12129265b1739a0
13617915c20377
1429d0dd23b568
15140645d5c9d6
hex9fabb170cc8

10972485323976 has 64 divisors (see below), whose sum is σ = 29931638411520. Its totient is φ = 3324253504320.

The previous prime is 10972485323959. The next prime is 10972485323977. The reversal of 10972485323976 is 67932358427901.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (10972485323977) 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 15 ways as a sum of consecutive naturals, for example, 3452050 + ... + 5819073.

It is an arithmetic number, because the mean of its divisors is an integer number (467681850180).

It is a 1-persistent number, because it is pandigital, but 2⋅10972485323976 = 21944970647952 is not.

Almost surely, 210972485323976 is an apocalyptic number.

It is an amenable number.

10972485323976 is an abundant number, since it is smaller than the sum of its proper divisors (18959153087544).

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

10972485323976 is a wasteful number, since it uses less digits than its factorization.

10972485323976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9275626 (or 9275622 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 10972485323976 in words is "ten trillion, nine hundred seventy-two billion, four hundred eighty-five million, three hundred twenty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 4483 8966 13449 17932 26898 35864 49313 53796 98626 107592 147939 197252 295878 394504 591756 1183512 9271123 18542246 27813369 37084492 55626738 74168984 101982353 111253476 203964706 222506952 305947059 407929412 611894118 815858824 1223788236 2447576472 41562444409 83124888818 124687333227 166249777636 249374666454 332499555272 457186888499 498749332908 914373776998 997498665816 1371560665497 1828747553996 2743121330994 3657495107992 5486242661988 10972485323976