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20690863200 = 253252717193141
BaseRepresentation
bin10011010001010001…
…011000010001100000
31222101222111202101200
4103101101120101200
5314333330110300
613301045001200
71331511302220
oct232121302140
958358452350
1020690863200
1188584a8847
1240153b3200
131c49868327
141003d62080
15811736200
hex4d1458460

20690863200 has 1728 divisors, whose sum is σ = 98273710080. Its totient is φ = 3981312000.

The previous prime is 20690863199. The next prime is 20690863243. The reversal of 20690863200 is 236809602.

It is a super-2 number, since 2×206908632002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 504655180 + ... + 504655220.

It is an arithmetic number, because the mean of its divisors is an integer number (56871360).

Almost surely, 220690863200 is an apocalyptic number.

20690863200 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 20690863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49136855040).

20690863200 is an abundant number, since it is smaller than the sum of its proper divisors (77582846880).

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

20690863200 is a wasteful number, since it uses less digits than its factorization.

20690863200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20690863200 in words is "twenty billion, six hundred ninety million, eight hundred sixty-three thousand, two hundred".