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209680231488 = 26371317705937
BaseRepresentation
bin1100001101000111101…
…0100110110001000000
3202001012222100101200120
43003101322212301000
511413411114401423
6240154211020240
721102033363150
oct3032172466100
9661188311616
10209680231488
1180a1a02a412
123477959a680
1316a079a98c0
14a2119a6760
1556c321aee3
hex30d1ea6c40

209680231488 has 224 divisors, whose sum is σ = 722970872064. Its totient is φ = 52047249408.

The previous prime is 209680231477. The next prime is 209680231601. The reversal of 209680231488 is 884132086902.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2096802314882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 209680231488.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55945 + ... + 649992.

It is an arithmetic number, because the mean of its divisors is an integer number (3227548536).

Almost surely, 2209680231488 is an apocalyptic number.

209680231488 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 209680231488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361485436032).

209680231488 is an abundant number, since it is smaller than the sum of its proper divisors (513290640576).

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

209680231488 is a wasteful number, since it uses less digits than its factorization.

209680231488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705989 (or 705979 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 209680231488 in words is "two hundred nine billion, six hundred eighty million, two hundred thirty-one thousand, four hundred eighty-eight".