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20687788056 = 23313461143833
BaseRepresentation
bin10011010001000101…
…101001100000011000
31222101202201112002110
4103101011221200120
5314332033204211
613300455032320
71331443203615
oct232105514030
958352645073
1020687788056
118856798401
12401436b6a0
131c4902c710
1410037a150c
15811329ea6
hex4d1169818

20687788056 has 64 divisors (see below), whose sum is σ = 55819098720. Its totient is φ = 6351621120.

The previous prime is 20687788049. The next prime is 20687788057. The reversal of 20687788056 is 65088778602.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20687787987 and 20687788005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20687788057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71916 + ... + 215748.

Almost surely, 220687788056 is an apocalyptic number.

20687788056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a pronic number, being equal to 143832×143833.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20687788056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27909549360).

20687788056 is an abundant number, since it is smaller than the sum of its proper divisors (35131310664).

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

20687788056 is a wasteful number, since it uses less digits than its factorization.

20687788056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144316 (or 144312 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 20687788056 in words is "twenty billion, six hundred eighty-seven million, seven hundred eighty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 461 922 1383 1844 2766 3688 5532 5993 11064 11986 17979 23972 35958 47944 71916 143832 143833 287666 431499 575332 862998 1150664 1725996 1869829 3451992 3739658 5609487 7479316 11218974 14958632 22437948 44875896 66307013 132614026 198921039 265228052 397842078 530456104 795684156 861991169 1591368312 1723982338 2585973507 3447964676 5171947014 6895929352 10343894028 20687788056