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203845139680 = 255713231274793
BaseRepresentation
bin1011110111011000011…
…1011111110011100000
3201111011022121000112011
42331312013133303200
511314433323432210
6233351204442304
720504321045530
oct2756607376340
9644138530464
10203845139680
11794a52a3596
123360b3a9394
13162b7b2c660
149c1aa434c0
155480d09d8a
hex2f761dfce0

203845139680 has 384 divisors, whose sum is σ = 623489384448. Its totient is φ = 61210017792.

The previous prime is 203845139623. The next prime is 203845139717. The reversal of 203845139680 is 86931548302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42527364 + ... + 42532156.

It is an arithmetic number, because the mean of its divisors is an integer number (1623670272).

Almost surely, 2203845139680 is an apocalyptic number.

203845139680 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 203845139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311744692224).

203845139680 is an abundant number, since it is smaller than the sum of its proper divisors (419644244768).

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

203845139680 is a wasteful number, since it uses less digits than its factorization.

203845139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 203845139680 in words is "two hundred three billion, eight hundred forty-five million, one hundred thirty-nine thousand, six hundred eighty".