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820454373156 = 22311163193319727
BaseRepresentation
bin10111111000001101110…
…01000011011100100100
32220102201212122120000210
423330012321003130210
5101420242304420111
61424524520335420
7113163424051005
oct13740671033444
92812655576023
10820454373156
11296a53117020
12113014614570
135c4a3822662
142b9d2b271ac
151651ddb20a6
hexbf06e43724

820454373156 has 96 divisors (see below), whose sum is σ = 2102435371008. Its totient is φ = 246956895360.

The previous prime is 820454373143. The next prime is 820454373191. The reversal of 820454373156 is 651373454028.

820454373156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41580565 + ... + 41600291.

It is an arithmetic number, because the mean of its divisors is an integer number (21900368448).

Almost surely, 2820454373156 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 820454373156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051217685504).

820454373156 is an abundant number, since it is smaller than the sum of its proper divisors (1281980997852).

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

820454373156 is a wasteful number, since it uses less digits than its factorization.

820454373156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21841 (or 21839 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 820454373156 in words is "eight hundred twenty billion, four hundred fifty-four million, three hundred seventy-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 163 326 489 652 978 1793 1933 1956 3586 3866 5379 5799 7172 7732 10758 11598 19727 21263 21516 23196 39454 42526 59181 63789 78908 85052 118362 127578 216997 236724 255156 315079 433994 630158 650991 867988 945237 1260316 1301982 1890474 2603964 3215501 3465869 3780948 6431002 6931738 9646503 10397607 12862004 13863476 19293006 20795214 35370511 38132291 38586012 41590428 70741022 76264582 106111533 114396873 141482044 152529164 212223066 228793746 419455201 424446132 457587492 838910402 1258365603 1677820804 2516731206 5033462412 6215563433 12431126866 18646690299 24862253732 37293380598 68371197763 74586761196 136742395526 205113593289 273484791052 410227186578 820454373156