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20227936813056 = 2163475310271
BaseRepresentation
bin1001001100101101011101…
…11111010000000000000000
32122121202211200210100010000
410212112232333100000000
510122403303311004211
6111004330315040000
74155264062663310
oct446265677200000
978552750710100
1020227936813056
11649968aa98395
122328387140000
13b396423c920b
144dd074761440
15251295c3e656
hex1265aefd0000

20227936813056 has 680 divisors, whose sum is σ = 70376998500864. Its totient is φ = 5669812961280.

The previous prime is 20227936813043. The next prime is 20227936813103. The reversal of 20227936813056 is 65031863972202.

20227936813056 is a `hidden beast` number, since 2 + 0 + 2 + 279 + 3 + 68 + 1 + 305 + 6 = 666.

It is a super-2 number, since 2×202279368130562 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20227936812993 and 20227936813011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1969417201 + ... + 1969427471.

Almost surely, 220227936813056 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 20227936813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35188499250432).

20227936813056 is an abundant number, since it is smaller than the sum of its proper divisors (50149061687808).

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

20227936813056 is an frugal number, since it uses more digits than its factorization.

20227936813056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10375 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 20227936813056 in words is "twenty trillion, two hundred twenty-seven billion, nine hundred thirty-six million, eight hundred thirteen thousand, fifty-six".