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20556696273960 = 233571117197987187
BaseRepresentation
bin1001010110010001110101…
…00101000100010000101000
32200210012102111201100111210
410223020322211010100220
510143300103221231320
6111415341011153120
74221113045204520
oct453107245042050
980705374640453
1020556696273960
1166060561532a0
122380037ba57a0
13b616465a36c2
14510d41268680
15259ad81800e0
hex12b23a944428

20556696273960 has 1024 divisors, whose sum is σ = 86780657664000. Its totient is φ = 3760408903680.

The previous prime is 20556696273907. The next prime is 20556696273973. The reversal of 20556696273960 is 6937269665502.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 20556696273891 and 20556696273900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 235733487 + ... + 235820673.

It is an arithmetic number, because the mean of its divisors is an integer number (84746736000).

Almost surely, 220556696273960 is an apocalyptic number.

20556696273960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20556696273960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43390328832000).

20556696273960 is an abundant number, since it is smaller than the sum of its proper divisors (66223961390040).

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

20556696273960 is a wasteful number, since it uses less digits than its factorization.

20556696273960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87334 (or 87330 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 66.

The spelling of 20556696273960 in words is "twenty trillion, five hundred fifty-six billion, six hundred ninety-six million, two hundred seventy-three thousand, nine hundred sixty".