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681749050444 = 2271137138143319
BaseRepresentation
bin10011110101110110110…
…10001111010001001100
32102011201021010002122021
421322323122033101030
542132210224103234
61241105144055524
7100153243213030
oct11727332172114
92364637102567
10681749050444
11243145625110
12b01644645a4
134c39a2539c7
1424dd54321c0
1512b01b7d9b4
hex9ebb68f44c

681749050444 has 96 divisors (see below), whose sum is σ = 1528795376640. Its totient is φ = 258244588800.

The previous prime is 681749050441. The next prime is 681749050453. The reversal of 681749050444 is 444050947186.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 681749050391 and 681749050400.

It is not an unprimeable number, because it can be changed into a prime (681749050441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15716217 + ... + 15759535.

It is an arithmetic number, because the mean of its divisors is an integer number (15924951840).

Almost surely, 2681749050444 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 681749050444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764397688320).

681749050444 is an abundant number, since it is smaller than the sum of its proper divisors (847046326196).

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

681749050444 is a wasteful number, since it uses less digits than its factorization.

681749050444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44759 (or 44757 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 681749050444 in words is "six hundred eighty-one billion, seven hundred forty-nine million, fifty thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 407 518 814 1036 1381 1628 2762 2849 5524 5698 9667 11396 15191 19334 30382 38668 43319 51097 60764 86638 102194 106337 173276 204388 212674 303233 357679 425348 476509 562067 606466 715358 953018 1124134 1212932 1430716 1602803 1906036 2248268 3205606 3335563 3934469 6411212 6671126 7868938 11219621 13342252 15737876 17630833 22439242 35261666 44878484 59823539 70523332 119647078 123415831 239294156 246831662 418764773 493663324 658058929 837529546 1316117858 1675059092 2213470943 2632235716 4426941886 4606412503 8853883772 9212825006 15494296601 18425650012 24348180373 30988593202 48696360746 61977186404 97392721492 170437262611 340874525222 681749050444