Search a number
-
+
1573220116336 = 2411103127967853
BaseRepresentation
bin10110111001001011001…
…110011110011101110000
312120101202102012102210011
4112321023032132131300
5201233423322210321
63202421034544304
7221442601230331
oct26711316363560
95511672172704
101573220116336
11557220818530
12214a98298094
13b547aa23b2b
1456203bc6288
152adca52dae1
hex16e4b39e770

1573220116336 has 80 divisors (see below), whose sum is σ = 3360173506560. Its totient is φ = 707593224960.

The previous prime is 1573220116331. The next prime is 1573220116343. The reversal of 1573220116336 is 6336110223751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1573220116331) 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, 23151786 + ... + 23219638.

It is an arithmetic number, because the mean of its divisors is an integer number (42002168832).

Almost surely, 21573220116336 is an apocalyptic number.

1573220116336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1573220116336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680086753280).

1573220116336 is an abundant number, since it is smaller than the sum of its proper divisors (1786953390224).

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

1573220116336 is a wasteful number, since it uses less digits than its factorization.

1573220116336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69254 (or 69248 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 1573220116336 in words is "one trillion, five hundred seventy-three billion, two hundred twenty million, one hundred sixteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 412 824 1133 1279 1648 2266 2558 4532 5116 9064 10232 14069 18128 20464 28138 56276 67853 112552 131737 135706 225104 263474 271412 526948 542824 746383 1053896 1085648 1449107 1492766 2107792 2898214 2985532 5796428 5971064 6988859 11592856 11942128 13977718 23185712 27955436 55910872 76877449 86783987 111821744 153754898 173567974 307509796 347135948 615019592 694271896 954623857 1230039184 1388543792 1909247714 3818495428 7636990856 8938750661 15273981712 17877501322 35755002644 71510005288 98326257271 143020010576 196652514542 393305029084 786610058168 1573220116336