Search a number
-
+
20544122144502 = 2321117371511109171
BaseRepresentation
bin1001010101111010011010…
…00110100100011011110110
32200201222222012021101121100
410222331031012210123312
510143043330232111002
6111405501152030530
74220156332651125
oct452751506443366
980658865241540
1020544122144502
116600793403770
122379708b32446
13b603c1500808
145104ab2b9abc
152595ee30211c
hex12af4d1a46f6

20544122144502 has 192 divisors, whose sum is σ = 52840268103168. Its totient is φ = 5697101952000.

The previous prime is 20544122144489. The next prime is 20544122144503.

20544122144502 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 4 + 1 + 2 + 2 + 144 + 502 = 666.

20544122144502 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20544122144503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188128377 + ... + 188237547.

It is an arithmetic number, because the mean of its divisors is an integer number (275209729704).

Almost surely, 220544122144502 is an apocalyptic number.

20544122144502 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20544122144502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26420134051584).

20544122144502 is an abundant number, since it is smaller than the sum of its proper divisors (32296145958666).

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

20544122144502 is a wasteful number, since it uses less digits than its factorization.

20544122144502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110755 (or 110752 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 2054412 and 2144502, that added together give a palindrome (4198914).

The spelling of 20544122144502 in words is "twenty trillion, five hundred forty-four billion, one hundred twenty-two million, one hundred forty-four thousand, five hundred two".