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132672246742 = 2723290719751
BaseRepresentation
bin111101110001111100…
…0011101001111010110
3110200110011020110000101
41323203320131033112
54133203043343432
6140540534404314
712404512330120
oct1734370351726
9420404213011
10132672246742
11512a202a712
122186780069a
13c6846c1b19
1465c8356210
1536b77654e7
hex1ee3e1d3d6

132672246742 has 48 divisors (see below), whose sum is σ = 238030877952. Its totient is φ = 54324666000.

The previous prime is 132672246709. The next prime is 132672246743. The reversal of 132672246742 is 247642276231.

It is a super-2 number, since 2×1326722467422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 132672246692 and 132672246701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132672246743) 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 23 ways as a sum of consecutive naturals, for example, 6707367 + ... + 6727117.

It is an arithmetic number, because the mean of its divisors is an integer number (4958976624).

Almost surely, 2132672246742 is an apocalyptic number.

132672246742 is a deficient number, since it is larger than the sum of its proper divisors (105358631210).

132672246742 is a wasteful number, since it uses less digits than its factorization.

132672246742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20713 (or 20690 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 46.

The spelling of 132672246742 in words is "one hundred thirty-two billion, six hundred seventy-two million, two hundred forty-six thousand, seven hundred forty-two".

Divisors: 1 2 7 14 23 46 161 322 529 907 1058 1814 3703 6349 7406 12698 19751 20861 39502 41722 138257 146027 276514 292054 454273 479803 908546 959606 3179911 3358621 6359822 6717242 10448279 17914157 20896558 35828314 73137953 125399099 146275906 250798198 412025611 824051222 2884179277 5768358554 9476589053 18953178106 66336123371 132672246742