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20384737672860 = 22345117330751043
BaseRepresentation
bin1001010001010001100010…
…00011000011111010011100
32200011202120102021022210000
410220220301003003322130
510132440420321012420
6111204341425414300
74202514542210211
oct450506103037234
980152512238700
1020384737672860
11654a133a95130
12235284749a390
13b4b370938772
145068ab431b08
152553c18ed690
hex128a310c3e9c

20384737672860 has 480 divisors, whose sum is σ = 70948471410432. Its totient is φ = 4858087726080.

The previous prime is 20384737672853. The next prime is 20384737672883. The reversal of 20384737672860 is 6827673748302.

20384737672860 is a `hidden beast` number, since 2 + 0 + 38 + 473 + 7 + 6 + 72 + 8 + 60 = 666.

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 159 ways as a sum of consecutive naturals, for example, 399338499 + ... + 399389541.

Almost surely, 220384737672860 is an apocalyptic number.

20384737672860 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 20384737672860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35474235705216).

20384737672860 is an abundant number, since it is smaller than the sum of its proper divisors (50563733737572).

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

20384737672860 is a wasteful number, since it uses less digits than its factorization.

20384737672860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51455 (or 51444 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 20384737672860 in words is "twenty trillion, three hundred eighty-four billion, seven hundred thirty-seven million, six hundred seventy-two thousand, eight hundred sixty".