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125714627712 = 2732412661641
BaseRepresentation
bin111010100010100101…
…1001111110010000000
3110000111021020202222200
41311011023033302000
54024430421041322
6133430312433200
712040216463412
oct1650513176200
9400437222880
10125714627712
11493516a2543
12204456a8800
13bb1610739b
1461282ac9b2
15340ba1d8ac
hex1d452cfc80

125714627712 has 96 divisors (see below), whose sum is σ = 370580415660. Its totient is φ = 40882790400.

The previous prime is 125714627681. The next prime is 125714627719. The reversal of 125714627712 is 217726417521.

It is a happy number.

125714627712 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 1 + 4 + 627 + 7 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122427210816 + 3287416896 = 349896^2 + 57336^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (125714627719) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1283589 + ... + 1378052.

Almost surely, 2125714627712 is an apocalyptic number.

125714627712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125714627712 is an abundant number, since it is smaller than the sum of its proper divisors (244865787948).

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

125714627712 is a wasteful number, since it uses less digits than its factorization.

125714627712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661702 (or 2661687 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The spelling of 125714627712 in words is "one hundred twenty-five billion, seven hundred fourteen million, six hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 288 328 369 384 492 576 656 738 984 1152 1312 1476 1968 2624 2952 3936 5248 5904 7872 11808 15744 23616 47232 2661641 5323282 7984923 10646564 15969846 21293128 23954769 31939692 42586256 47909538 63879384 85172512 95819076 109127281 127758768 170345024 191638152 218254562 255517536 327381843 340690048 383276304 436509124 511035072 654763686 766552608 873018248 982145529 1022070144 1309527372 1533105216 1746036496 1964291058 2619054744 3066210432 3492072992 3928582116 5238109488 6984145984 7857164232 10476218976 13968291968 15714328464 20952437952 31428656928 41904875904 62857313856 125714627712