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561651409144 = 237223916933541
BaseRepresentation
bin10000010110001010000…
…10000110000011111000
31222200201110012210110101
420023011002012003320
533200230230043034
61110004042525144
755402150131100
oct10130502060370
91880643183411
10561651409144
111a721663a701
1290a27b067b4
1340c6aa70627
141d281150200
15e92333c514
hex82c50860f8

561651409144 has 96 divisors (see below), whose sum is σ = 1231230369600. Its totient is φ = 239491365120.

The previous prime is 561651409091. The next prime is 561651409181. The reversal of 561651409144 is 441904156165.

It is a junction number, because it is equal to n+sod(n) for n = 561651409094 and 561651409103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158612014 + ... + 158615554.

It is an arithmetic number, because the mean of its divisors is an integer number (12825316350).

Almost surely, 2561651409144 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 561651409144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615615184800).

561651409144 is an abundant number, since it is smaller than the sum of its proper divisors (669578960456).

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

561651409144 is a wasteful number, since it uses less digits than its factorization.

561651409144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 561651409144 in words is "five hundred sixty-one billion, six hundred fifty-one million, four hundred nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 239 392 478 956 1673 1693 1912 3346 3386 3541 6692 6772 7082 11711 11851 13384 13544 14164 23422 23702 24787 28328 46844 47404 49574 82957 93688 94808 99148 165914 173509 198296 331828 347018 404627 663656 694036 809254 846299 1388072 1618508 1692598 2832389 3237016 3385196 5664778 5924093 5994913 6770392 11329556 11848186 11989826 19826723 22659112 23696372 23979652 39653446 41468651 41964391 47392744 47959304 79306892 82937302 83928782 158613784 165874604 167857564 293750737 331749208 335715128 587501474 1175002948 1432784207 2350005896 2865568414 5731136828 10029489449 11462273656 20058978898 40117957796 70206426143 80235915592 140412852286 280825704572 561651409144