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820631141556 = 223653393126641
BaseRepresentation
bin10111111000100010110…
…11010111110010110100
32220110012012021022200120
423330101123113302310
5101421123033012211
61424554233211540
7113201001416532
oct13742133276264
92813165238616
10820631141556
11297033981806
12113063860bb0
135c501334645
142ba0c3bd152
151652e67cd06
hexbf116d7cb4

820631141556 has 48 divisors (see below), whose sum is σ = 1918298171328. Its totient is φ = 273045081600.

The previous prime is 820631141419. The next prime is 820631141557. The reversal of 820631141556 is 655141136028.

It is a super-2 number, since 2×8206311415562 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820631141557) 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, 30789996 + ... + 30816636.

It is an arithmetic number, because the mean of its divisors is an integer number (39964545236).

Almost surely, 2820631141556 is an apocalyptic number.

It is an amenable number.

820631141556 is an abundant number, since it is smaller than the sum of its proper divisors (1097667029772).

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

820631141556 is a wasteful number, since it uses less digits than its factorization.

820631141556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31232 (or 31230 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 820631141556 in words is "eight hundred twenty billion, six hundred thirty-one million, one hundred forty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 653 1306 1959 2612 3918 3931 7836 7862 11793 15724 23586 26641 47172 53282 79923 106564 159846 319692 2566943 5133886 7700829 10267772 15401658 17396573 30803316 34793146 52189719 69586292 104379438 104725771 208758876 209451542 314177313 418903084 628354626 1256709252 68385928463 136771856926 205157785389 273543713852 410315570778 820631141556