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20883940308 = 223271125771187
BaseRepresentation
bin10011011100110001…
…111010001111010100
31222220102211002101200
4103130301322033110
5320232242042213
613332143152500
71336344364230
oct233461721724
958812732350
1020883940308
118947492500
124069ba5730
131c7a86a53a
1410218615c0
15823674273
hex4dcc7a3d4

20883940308 has 216 divisors, whose sum is σ = 66485555136. Its totient is φ = 5410437120.

The previous prime is 20883940291. The next prime is 20883940313. The reversal of 20883940308 is 80304938802.

20883940308 is a `hidden beast` number, since 208 + 8 + 39 + 403 + 0 + 8 = 666.

It is a super-2 number, since 2×208839403082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17593291 + ... + 17594477.

It is an arithmetic number, because the mean of its divisors is an integer number (307803496).

Almost surely, 220883940308 is an apocalyptic number.

20883940308 is a gapful number since it is divisible by the number (28) 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 20883940308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33242777568).

20883940308 is an abundant number, since it is smaller than the sum of its proper divisors (45601614828).

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

20883940308 is a wasteful number, since it uses less digits than its factorization.

20883940308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

It can be divided in two parts, 20883 and 940308, that added together give a triangular number (961191 = T1386).

The spelling of 20883940308 in words is "twenty billion, eight hundred eighty-three million, nine hundred forty thousand, three hundred eight".