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20797314272 = 25719291671009
BaseRepresentation
bin10011010111100111…
…011101010011100000
31222200101211000210222
4103113213131103200
5320043103024042
613315410342212
71334243153210
oct232747352340
958611730728
1020797314272
1189025a6039
124044b8a968
131c6592a227
141014152240
1581ac622d2
hex4d79dd4e0

20797314272 has 192 divisors, whose sum is σ = 51311232000. Its totient is φ = 8095997952.

The previous prime is 20797314271. The next prime is 20797314281. The reversal of 20797314272 is 27241379702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20797314271) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20611304 + ... + 20612312.

It is an arithmetic number, because the mean of its divisors is an integer number (267246000).

Almost surely, 220797314272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20797314272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25655616000).

20797314272 is an abundant number, since it is smaller than the sum of its proper divisors (30513917728).

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

20797314272 is a wasteful number, since it uses less digits than its factorization.

20797314272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 44.

The spelling of 20797314272 in words is "twenty billion, seven hundred ninety-seven million, three hundred fourteen thousand, two hundred seventy-two".