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3722423071312 = 2411331212930013
BaseRepresentation
bin110110001010110001101…
…101000111001001010000
3111011212020001201201101201
4312022301231013021100
5441442010301240222
611530020233040544
7532636054021261
oct66126155071120
914155201651351
103722423071312
111205741864770
1250151bb56154
1321003b67a77a
14cc24822a968
1566c67149427
hex362b1b47250

3722423071312 has 80 divisors (see below), whose sum is σ = 7895588489280. Its totient is φ = 1686050150400.

The previous prime is 3722423071277. The next prime is 3722423071319. The reversal of 3722423071312 is 2131703242273.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3722423071319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 124012018 + ... + 124042030.

It is an arithmetic number, because the mean of its divisors is an integer number (98694856116).

Almost surely, 23722423071312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3722423071312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947794244640).

3722423071312 is an abundant number, since it is smaller than the sum of its proper divisors (4173165417968).

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

3722423071312 is a wasteful number, since it uses less digits than its factorization.

3722423071312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32492 (or 32486 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The spelling of 3722423071312 in words is "three trillion, seven hundred twenty-two billion, four hundred twenty-three million, seventy-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 331 662 1324 2129 2648 3641 4258 5296 7282 8516 14564 17032 23419 29128 30013 34064 46838 58256 60026 93676 120052 187352 240104 330143 374704 480208 660286 704699 1320572 1409398 2641144 2818796 5282288 5637592 7751689 9934303 11275184 15503378 19868606 31006756 39737212 62013512 63897677 79474424 109277333 124027024 127795354 158948848 218554666 255590708 437109332 511181416 702874447 874218664 1022362832 1405748894 1748437328 2811497788 5622995576 11245991152 21150131087 42300262174 84600524348 169201048696 232651441957 338402097392 465302883914 930605767828 1861211535656 3722423071312