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54021820820 = 225116113729383
BaseRepresentation
bin110010010011111100…
…111001000110010100
312011102212120211121112
4302103330321012110
51341114041231240
640452311034152
73621465620612
oct622374710624
9164385524545
1054021820820
1120a01a00610
12a57796b958
13512c061566
1428869246b2
1516129ca665
hexc93f39194

54021820820 has 96 divisors (see below), whose sum is σ = 126710390016. Its totient is φ = 19180569600.

The previous prime is 54021820817. The next prime is 54021820829. The reversal of 54021820820 is 2802812045.

54021820820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54021820829) 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, 1823849 + ... + 1853231.

It is an arithmetic number, because the mean of its divisors is an integer number (1319899896).

Almost surely, 254021820820 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 54021820820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63355195008).

54021820820 is an abundant number, since it is smaller than the sum of its proper divisors (72688569196).

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

54021820820 is a wasteful number, since it uses less digits than its factorization.

54021820820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29601 (or 29599 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The spelling of 54021820820 in words is "fifty-four billion, twenty-one million, eight hundred twenty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 137 220 244 274 305 548 610 671 685 1220 1342 1370 1507 2684 2740 3014 3355 6028 6710 7535 8357 13420 15070 16714 29383 30140 33428 41785 58766 83570 91927 117532 146915 167140 183854 293830 323213 367708 459635 587660 646426 919270 1292852 1616065 1792363 1838540 3232130 3584726 4025471 6464260 7169452 8050942 8961815 16101884 17923630 19715993 20127355 35847260 39431986 40254710 44280181 78863972 80509420 88560362 98579965 177120724 197159930 221400905 245553731 394319860 442801810 491107462 885603620 982214924 1227768655 2455537310 2701091041 4911074620 5402182082 10804364164 13505455205 27010910410 54021820820