Search a number
-
+
1561329245696 = 29111741159233
BaseRepresentation
bin10110101110000110011…
…110011001111000000000
312112021001201102121202212
4112232012132121320000
5201040100241330241
63153133104201252
7220542123421103
oct26560636317000
95467051377685
101561329245696
11552179723410
1221271a009228
13b430437b2bc
14557d689473a
152a931667beb
hex16b86799e00

1561329245696 has 80 divisors (see below), whose sum is σ = 3405185969328. Its totient is φ = 709283020800.

The previous prime is 1561329245689. The next prime is 1561329245699. The reversal of 1561329245696 is 6965429231651.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561329245699) 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 7 ways as a sum of consecutive naturals, for example, 9725696 + ... + 9884928.

Almost surely, 21561329245696 is an apocalyptic number.

1561329245696 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 1561329245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702592984664).

1561329245696 is an abundant number, since it is smaller than the sum of its proper divisors (1843856723632).

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

1561329245696 is a wasteful number, since it uses less digits than its factorization.

1561329245696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161003 (or 160987 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 59.

The spelling of 1561329245696 in words is "one trillion, five hundred sixty-one billion, three hundred twenty-nine million, two hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 1741 2816 3482 5632 6964 13928 19151 27856 38302 55712 76604 111424 153208 159233 222848 306416 318466 445696 612832 636932 891392 1225664 1273864 1751563 2451328 2547728 3503126 4902656 5095456 7006252 9805312 10190912 14012504 20381824 28025008 40763648 56050016 81527296 112100032 224200064 277224653 448400128 554449306 896800256 1108898612 2217797224 3049471183 4435594448 6098942366 8871188896 12197884732 17742377792 24395769464 35484755584 48791538928 70969511168 97583077856 141939022336 195166155712 390332311424 780664622848 1561329245696